simple probability homework

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Probability Worksheets

Navigate through this assortment of printable probability worksheets that includes exercises on basic probability based on more likely, less likely, equally likely, certain and impossible events, pdf worksheets based on identifying suitable events, simple spinner problems, for students in grade 4, grade 5, and grade 6. With the required introduction, the beginners get to further their knowledge with skills like probability on single coin, two coins, days in a week, months in a year, fair die, pair of dice, deck of cards, numbers and more. Mutually exclusive and inclusive events, probability on odds and other challenging probability worksheets are useful for grade 7, grade 8, and high school. Grab some of these probability worksheets for free!

Probability on Coins

Simple probability worksheets based on tossing single coin or two coins. Identify the proper sample space before finding probability.

Probability in a single coin toss

Probability in pair of coin - 1

Probability in pair of coin - 2

Probability on Days and Months

Fun filled worksheet pdfs based on days in a week and months in a year. Sample space is easy to find but care is required in identifying like events.

Days of a week

Months of a year - 1

Months of a year - 2

Probability on Fair Die

Fair die is numbered from 1 to 6. Understand the multiples, divisors and factors and apply it on these probability worksheets.

Simple numbers

Multiples and divisors

Mutually exclusive and inclusive

Probability on Pair of Dice

Sample space is little large which contains 36 elements. Write all of them in papers before start answering on probability questions for grade 7 and grade 8.

Based on numbers

Based on sum and difference

Based on multiples and divisors

Based on factors

Probability on Numbers

Students should learn the concepts of multiples, divisors and factors before start practicing these printable worksheets.

Probability on numbers - 1

Probability on numbers - 2

Probability on numbers - 3

Probability on numbers - 4

Probability on numbers - 5

Probability on Deck of Cards

Deck of cards contain 52 cards, 26 are black, 26 are red, four different flowers, each flower contain 13 cards such as A, 1, 2, ..., 10, J, Q, K.

Deck of cards worksheet - 1

Deck of cards worksheet - 2

Deck of cards worksheet - 3

Probability on Spinners

Interactive worksheets for 4th grade and 5th grade kids to understand the probability using spinners. Colorful spinners are included for more fun.

Spinner worksheets on numbers

Spinner worksheets on colors

Probability on Odds

Probability on odds worksheets can be broadly classifieds as favorable to the events or against the events.

Odds worksheet - 1

Odds worksheet - 2

Odds worksheet - 3

Probability on Independent and Dependent

Here comes our challenging probability worksheets set for 8th grade and high school students based on dependent and independent events with various real-life applications.

Based on deck of cards

Based on marbles

Based on cards

Probability on Different Events

Basic probability worksheets for beginners in 6th grade and 7th grade to understand the different type of events such as more likely, less likely, equally likely and so on.

Balls in container

Identify suitable events

Mutually inclusive and exclusive events

Related Worksheets

» Permutation

» Combination

» Permutation and Combination

» Venn Diagram

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Probability Worksheets

These printable math worksheets will help students learn about probability of random events. Sample the free content or become a STW member for full access!

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Probability of Single Events: Worksheets with Answers

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.

Mathster keyboard_arrow_up Back to Top

Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers.

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Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. It really is one of the very best websites around.

Probability Worksheet and Solutions

Related Topics & Worksheets: Probability Worksheet Complementary Probability Worksheet

Objective: I know how to find the probability of an event.

In an experiment, an event is the result that we are interested in.

Read the lesson on probability for more information and examples.

Work out the following. When necessary, give your answer in fractions eg. 2/5

When a fair die is thrown, what is the probability of getting a number greater than 4?

If a number is chosen at random from the numbers 1 to 20 inclusive, what is the probability that: a) a prime number will be picked? b) an even number will be picked? c) a single digit number will be picked?

Each of the letters of the word “SUCCESS” is written on a card and all the cards are placed into a bag. A card is randomly selected from the bag. Find the probability that the card bears: a) the letter ‘S’ b) a vowel c) the letter ‘A’

A bag contains 7 white balls, 3 red balls and 2 black balls. A ball is picked from the bag at random. Find the probability of: a) picking a red ball. b) picking a black ball. c) picking either a white or black ball.

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

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Probability Worksheets and Printables

Tips for Teaching Probability

• Start out by explaining to your child that probability helps determine how likely something is to happen. Then, think of an event that would be fun to predict together.
• For your event determine the number of ways an event can happen and the total number of outcomes. For example, when flipping a coin, it will land on either heads or tails, so there is only 1 "event" that can happen. However there are two possible outcomes. So, the probability of the coin landing on heads is 1/2.

• Online Practice Tests

Probability Practice Problems

1. on a six-sided die, each side has a number between 1 and 6. what is the probability of throwing a 3 or a 4, 2. three coins are tossed up in the air, one at a time. what is the probability that two of them will land heads up and one will land tails up, 3. a two-digit number is chosen at random. what is the probability that the chosen number is a multiple of 7, 4. a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. how many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3, 5. there are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. what is the probability of selecting a blue or red marble on the first draw, 6. using a six-sided die, carlin has rolled a six on each of 4 successive tosses. what is the probability of carlin rolling a six on the next toss, 7. a regular deck of cards has 52 cards. assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row.

• 1 in 132600

8. An MP3 player is set to play songs at random from the fifteen songs it contains in memory. Any song can be played at any time, even if it is repeated. There are 5 songs by Band A, 3 songs by Band B, 2 by Band C, and 5 by Band D. If the player has just played two songs in a row by Band D, what is the probability that the next song will also be by Band D?

• Not enough data to determine.

9. Referring again to the MP3 player described in Question 8, what is the probability that the next two songs will both be by Band B?

10. if a bag of balloons consists of 47 white balloons, 5 yellow balloons, and 10 black balloons, what is the approximate likelihood that a balloon chosen randomly from the bag will be black, 11. in a lottery game, there are 2 winners for every 100 tickets sold on average. if a man buys 10 tickets, what is the probability that he is a winner, answers and explanations.

1.  B:  On a six-sided die, the probability of throwing any number is 1 in 6. The probability of throwing a 3 or a 4 is double that, or 2 in 6. This can be simplified by dividing both 2 and 6 by 2.

Therefore, the probability of throwing either a 3 or 4 is 1 in 3.

2.  D:  Shown below is the sample space of possible outcomes for tossing three coins, one at a time. Since there is a possibility of two outcomes (heads or tails) for each coin, there is a total of 2*2*2=8 possible outcomes for the three coins altogether. Note that H represents heads and T represents tails:

HHH HHT HTT HTH TTT TTH THT THH

Notice that out of the 8 possible outcomes, only 3 of them (HHT, HTH, and THH) meet the desired condition that two coins land heads up and one coin lands tails up. Probability, by definition, is the number of desired outcomes divided by the number of possible outcomes. Therefore, the probability of two heads and one tail is 3/8, Choice D.

3.  E:  There are 90 two-digit numbers (all integers from 10 to 99). Of those, there are 13 multiples of 7: 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

4.  B:  Add the 14 blue, 6 red, 12 green, and 8 purple buttons to get a total of 40 buttons. If 25 buttons are removed, there are 15 buttons remaining in the bag. If the chance of drawing a red button is now 1/3, then 5 of the 15 buttons remaining must be red. The original total of red buttons was 6. So, one red button was removed.

5.  D:  Use this ratio for probability:

Probability = Number of Desired Outcomes

Number of Possible Outcomes

There are 6 blue marbles and 3 red marbles for a total of 9 desired outcomes. Add the total number of marbles to get the total number of possible outcomes, 14. The probability that a red or blue marble will be selected is 9/14.

6.  C:  The outcomes of previous rolls do not affect the outcomes of future rolls. There is one desired outcome and six possible outcomes. The probability of rolling a six on the fifth roll is 1/6, the same as the probability of rolling a six on any given individual roll.

7.  D:  The probability of getting three aces in a row is the product of the probabilities for each draw. For the first ace, that is 4 in 52 or 1 in 13; for the second, it is 3 in 51 or 1 in 27; and for the third, it is 2 in 50 or 1 in 25. So the overall probability,  P , is P=1/13*1/17*1/25=1/5,525

8.  B:  The probability of playing a song by a particular band is proportional to the number of songs by that band divided by the total number of songs, or 5/15=1/3 for B and D. The probability of playing any particular song is not affected by what has been played previously, since the choice is random and songs may be repeated.

9.  A:  Since 3 of the 15 songs are by Band B, the probability that any one song will be by that band is 3/15=1/5. The probability that the next two songs are by Band B is equal to the product of two probabilities, where each probability is that the next song is by Band B: 1/5*1/5=1/25 The same probability of 1/5 may be multiplied twice because whether or not the first song is by Band B has no impact on whether the second song is by Band B. They are independent events.

10.  B:  First, calculate the total number of balloons in the bag: 47 + 5 + 10 = 62.

Ten of these are black, so divide this number by 62. Then, multiply by 100 to express the probability as a percentage:

10 / 62 = 0.16

0.16 100 = 16%

11. C: First, simplify the winning rate. If there are 2 winners for every 100 tickets, there is 1 winner for every 50 tickets sold. This can be expressed as a probability of 1/50 or 0.02. In order to account for the (unlikely) scenarios of more than a single winning ticket, calculate the probability that none of the tickets win and then subtract that from 1. There is a probability of 49/50 that a given ticket will not win. For all ten to lose that would be (49/50)^(10) ≈ 0.817. Therefore, the probability that at least one ticket wins is 1 − 0.817 = 0.183 or about 18.3%

Statistics and Probability Worksheets

Welcome to the statistics and probability page at Math-Drills.com where there is a 100% chance of learning something! This page includes Statistics worksheets including collecting and organizing data, measures of central tendency (mean, median, mode and range) and probability.

Students spend their lives collecting, organizing, and analyzing data, so why not teach them a few skills to help them on their way. Data management is probably best done on authentic tasks that will engage students in their own learning. They can collect their own data on topics that interest them. For example, have you ever wondered if everyone shares the same taste in music as you? Perhaps a survey, a couple of graphs and a few analysis sentences will give you an idea.

Statistics has applications in many different fields of study. Budding scientists, stock market brokers, marketing geniuses, and many other pursuits will involve managing data on a daily basis. Teaching students critical thinking skills related to analyzing data they are presented will enable them to make crucial and informed decisions throughout their lives.

Probability is a topic in math that crosses over to several other skills such as decimals, percents, multiplication, division, fractions, etc. Probability worksheets will help students to practice all of these skills with a chance of success!

Most Popular Statistics and Probability Worksheets this Week

Mean, Median, Mode and Range Worksheets

Calculating the mean, median, mode and range are staples of the upper elementary math curriculum. Here you will find worksheets for practicing the calculation of mean, median, mode and range. In case you're not familiar with these concepts, here is how to calculate each one. To calculate the mean, add all of the numbers in the set together and divide that sum by the number of numbers in the set. To calculate the median, first arrange the numbers in order, then locate the middle number. In sets where there are an even number of numbers, calculate the mean of the two middle numbers. To calculate the mode, look for numbers that repeat. If there is only one of each number, the set has no mode. If there are doubles of two different numbers and there are more numbers in the set, the set has two modes. If there are triples of three different numbers and there are more numbers in the set, the set has three modes, and so on. The range is calculated by subtracting the least number from the greatest number.

Note that all of the measures of central tendency are included on each page, but you don't need to assign them all if you aren't working on them all. If you're only working on mean, only assign students to calculate the mean.

In order to determine the median, it is necessary to have your numbers sorted. It is also helpful in determining the mode and range. To expedite the process, these first worksheets include the lists of numbers already sorted.

• Calculating Mean, Median, Mode and Range from Sorted Lists Sets of 5 Numbers from 1 to 10 Sets of 5 Numbers from 10 to 99 Sets of 5 Numbers from 100 to 999 Sets of 10 Numbers from 1 to 10 Sets of 10 Numbers from 10 to 99 Sets of 10 Numbers from 100 to 999 Sets of 20 Numbers from 10 to 99 Sets of 15 Numbers from 100 to 999

Normally, data does not come in a sorted list, so these worksheets are a little more realistic. To find some of the statistics, it will be easier for students to put the numbers in order first.

• Calculating Mean, Median, Mode and Range from Unsorted Lists Sets of 5 Numbers from 1 to 10 Sets of 5 Numbers from 10 to 99 Sets of 5 Numbers from 100 to 999 Sets of 10 Numbers from 1 to 10 Sets of 10 Numbers from 10 to 99 Sets of 10 Numbers from 100 to 999 Sets of 20 Numbers from 10 to 99 Sets of 15 Numbers from 100 to 999

Collecting and Organizing Data

Teaching students how to collect and organize data enables them to develop skills that will enable them to study topics in statistics with more confidence and deeper understanding.

• Constructing Line Plots from Small Data Sets Construct Line Plots with Smaller Numbers and Lines with Ticks Provided (Small Data Set) Construct Line Plots with Smaller Numbers and Lines Only Provided (Small Data Set) Construct Line Plots with Smaller Numbers (Small Data Set) Construct Line Plots with Larger Numbers and Lines with Ticks Provided (Small Data Set) Construct Line Plots with Larger Numbers and Lines Only Provided (Small Data Set) Construct Line Plots with Larger Numbers (Small Data Set)
• Constructing Line Plots from Larger Data Sets Construct Line Plots with Smaller Numbers and Lines with Ticks Provided Construct Line Plots with Smaller Numbers and Lines Only Provided Construct Line Plots with Smaller Numbers Construct Line Plots with Larger Numbers and Lines with Ticks Provided Construct Line Plots with Larger Numbers and Lines Only Provided Construct Line Plots with Larger Numbers

Interpreting and Analyzing Data

Answering questions about graphs and other data helps students build critical thinking skills. Standard questions include determining the minimum, maximum, range, count, median, mode, and mean.

• Answering Questions About Stem-and-Leaf Plots Stem-and-Leaf Plots with about 25 data points Stem-and-Leaf Plots with about 50 data points Stem-and-Leaf Plots with about 100 data points
• Answering Questions About Line Plots Line Plots with Smaller Data Sets and Smaller Numbers Line Plots with Smaller Data Sets and Larger Numbers Line Plots with Larger Data Sets and Smaller Numbers Line Plots with Larger Data Sets and Larger Numbers
• Answering Questions About Broken-Line Graphs Answer Questions About Broken-Line Graphs
• Answering Questions About Circle Graphs Circle Graph Questions (Color Version) Circle Graph Questions (Black and White Version) Circle Graphs No Questions (Color Version) Circle Graphs No Questions (Black and White Version)
• Answering Questions About Pictographs Answer Questions About Pictographs

Probability Worksheets

• Calculating Probabilities with Dice Sum of Two Dice Probabilities Sum of Two Dice Probabilities (with table)

Spinners can be used for probability experiments or for theoretical probability. Students should intuitively know that a number that is more common on a spinner will come up more often. Spinning 100 or more times and tallying the results should get them close to the theoretical probability. The more sections there are, the more spins will be needed.

• Calculating Probabilities with Number Spinners Number Spinner Probability (4 Sections) Number Spinner Probability (5 Sections) Number Spinner Probability (6 Sections) Number Spinner Probability (7 Sections) Number Spinner Probability (8 Sections) Number Spinner Probability (9 Sections) Number Spinner Probability (10 Sections) Number Spinner Probability (11 Sections) Number Spinner Probability (12 Sections)

Non-numerical spinners can be used for experimental or theoretical probability. There are basic questions on every version with a couple extra questions on the A and B versions. Teachers and students can make up other questions to ask and conduct experiments or calculate the theoretical probability. Print copies for everyone or display on an interactive white board.

• Probability with Single-Event Spinners Animal Spinner Probability ( 4 Sections) Animal Spinner Probability ( 5 Sections) Animal Spinner Probability ( 10 Sections) Letter Spinner Probability ( 4 Sections) Letter Spinner Probability ( 5 Sections) Letter Spinner Probability ( 10 Sections) Color Spinner Probability ( 4 Sections) Color Spinner Probability ( 5 Sections) Color Spinner Probability ( 10 Sections)
• Probability with Multi-Event Spinners Animal/Letter Combined Spinner Probability ( 4 Sections) Animal/Letter Combined Spinner Probability ( 5 Sections) Animal/Letter Combined Spinner Probability ( 10 Sections) Animal/Letter/Color Combined Spinner Probability ( 4 Sections) Animal/Letter/Color Combined Spinner Probability ( 5 Sections) Animal/Letter/Color Combined Spinner Probability ( 10 Sections)

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15 Awesome Probability Activities

December 8, 2022 //  by  Narciss Greene

Are you looking for ways to liven up your probability lesson? Take a look at this lovely resource of fifteen activities that even the most advanced students will enjoy! Most students have had experience with probability in their daily lives but don’t even realize it! With these exciting probability games, you can show them just how simple finding probabilities can be. Whether you’re looking to cover conditional probability or theoretical probabilities, this list will prove to be a great supplement to your statistics classes.

1. Single Events Video

This video, and the basic probability questions that follow, are a wonderful way to begin your probability unit. Students will love watching a video as it provides a break from the teacher. Best of all, this brilliant resource comes with an online quiz game to play at the end!

Learn More: Generation Genius

2. Compute Using the Z-Score Calculator

After learning about what a Z-score is and how the Z-Table works with the area under the curve, have students play with this calculator. Detailed instructions for students can be found at the link below along with additional educational resources for normal distributions. 

Learn More: Z-Table

3. Menu Toss Up

Begin your unit on probability by featuring a basic restaurant menu! This short video will explain the idea of compound probability to your statistics students. Turn this into a homework collection activity where students are tasked with bringing in a menu from their favorite restaurant to analyze. 

Learn More: PBS Learning Media

4. Practice Relative Frequency 

Gather coins, dice, or regular playing cards for this amazing probability experiment. Provide students with a frequency table to record the frequency of outcomes. Each student finds the probability of an event happening ten times and then uses results from the whole class to see how a larger sample leads to the expected outcome.

Learn More: Interactive Maths

5. Play Deal or No Deal

Here is a probability fair- an online game where students work with a 0-1 probability scale. A zero means that the event is not likely to happen whereas a one means that the event will most likely happen. Students will love this chance event game!

Learn More: XP Math

6. The Great Cookie Race

A little prep work is needed for this. The cookie papers need to be laminated so students can write on them with dry-erase markers. Once that is done, this probability game is a fun way to record dice rolls. You will also need one score sheet to record the whole class’ data after students play in pairs.

Learn More: Math Wire

7. Free the Animals

Probability activities are so much more fun when cute animals are involved. Students will learn the effects of probability on freeing caged animals in this one-die toss game. What is the probability you will roll the correct number to free the animal? Who can free them all first?

Learn More: M a th Wire

8. Powerball and MegaMillion Probability 

Is playing the lottery and gambling really worth it? Learn about your chances of winning with this compound probability activity that is sure to engage every student in your math class. 

Learn More: Yummy Math

9. Probability Tree Model

Some students may be confused by probability trees, also called frequency trees, while others may find tree diagrams to be extremely helpful. Either way, having students draw their own trees is a great way to build on their understanding of probability. Check out this excellent resource to see how it works. 

Learn More: Mash Up Math

10. Probability Sort

This is a great hands-on activity for your statistics students as it shows the principles of probability using both words and pictures. Students will enjoy getting their hands involved to place these cutouts into the correct spots. Sort individually or in pairs.

Learn More: Alyssa Teaches

11. Play With Skittles

Consider bringing in a bag of Skittles for each student to conduct their own probability investigation. Have them record how many of each color are in the bag they received. From there, have them calculate the probability of receiving each color. Lastly, compare your results with the class!

Learn More: 123 Homeschool

12. Play the Spinner

We all have mixed feelings about fidget spinners. You can decide to not include them in your studies of probability and instead spin a virtual one with this decision-maker. The drop-down at the top also allows you to choose between many more items to spin.

Learn More: Math is Fun

13. Play Kahoot

Here is a fun and interactive way to learn the vocabulary of probability. Visit Kahoot for a full list of pre-made probability quizzes and games. Students win by both answering correctly and answering the fastest. This would be a great way to review before a test.

Learn More: Kahoot

14. Play Quizlet

If you haven’t used Quizlet before, the flashcard function is an engaging way for students to memorize vocabulary. After students have studied a set, you can launch a Quizlet Live game that will get the whole class working together!

Learn More: Quizlet

15. Play Fair Spinners

The PDF in the link below has everything you need to play this fun game, starting on page ten. You will need groups of four to play and will also need two spinners. One spinner will be fair and the other not so fair. Students will see how probabilities and fairness are intertwined. 

Learn More: Math Academy

Probability

How likely something is to happen.

Many events can't be predicted with total certainty. The best we can say is how likely they are to happen, using the idea of probability.

Tossing a Coin

When a coin is tossed, there are two possible outcomes:

Heads (H) or Tails (T)

• the probability of the coin landing H is ½
• the probability of the coin landing T is ½

Throwing Dice

When a single die is thrown, there are six possible outcomes: 1, 2, 3, 4, 5, 6 .

The probability of any one of them is 1 6

In general:

Probability of an event happening = Number of ways it can happen Total number of outcomes

Example: the chances of rolling a "4" with a die

Number of ways it can happen: 1 (there is only 1 face with a "4" on it)

Total number of outcomes: 6 (there are 6 faces altogether)

So the probability = 1 6

Example: there are 5 marbles in a bag: 4 are blue, and 1 is red. What is the probability that a blue marble gets picked?

Number of ways it can happen: 4 (there are 4 blues)

Total number of outcomes: 5 (there are 5 marbles in total)

So the probability = 4 5 = 0.8

Probability Line

We can show probability on a Probability Line :

Probability is always between 0 and 1

Probability is Just a Guide

Probability does not tell us exactly what will happen, it is just a guide

Example: toss a coin 100 times, how many Heads will come up?

Probability says that heads have a ½ chance, so we can expect 50 Heads .

But when we actually try it we might get 48 heads, or 55 heads ... or anything really, but in most cases it will be a number near 50.

Learn more at Probability Index .

Some words have special meaning in Probability:

Experiment : a repeatable procedure with a set of possible results.

Example: Throwing dice

We can throw the dice again and again, so it is repeatable.

The set of possible results from any single throw is {1, 2, 3, 4, 5, 6}

Outcome: A possible result.

Example: "6" is one of the outcomes of a throw of a die.

Trial: A single performance of an experiment.

Example: I conducted a coin toss experiment. After 4 trials I got these results:

Three trials had the outcome "Head", and one trial had the outcome "Tail"

Sample Space: all the possible outcomes of an experiment.

Example: choosing a card from a deck

There are 52 cards in a deck (not including Jokers)

So the Sample Space is all 52 possible cards : {Ace of Hearts, 2 of Hearts, etc... }

The Sample Space is made up of Sample Points:

Sample Point: just one of the possible outcomes

Example: Deck of Cards

• the 5 of Clubs is a sample point
• the King of Hearts is a sample point

"King" is not a sample point. There are 4 Kings, so that is 4 different sample points.

There are 6 different sample points in that sample space.

Event: one or more outcomes of an experiment

Example Events:

An event can be just one outcome:

• Getting a Tail when tossing a coin
• Rolling a "5"

An event can include more than one outcome:

• Choosing a "King" from a deck of cards (any of the 4 Kings)
• Rolling an "even number" (2, 4 or 6)

Hey, let's use those words, so you get used to them:

Example: Alex wants to see how many times a "double" comes up when throwing 2 dice.

The Sample Space is all possible Outcomes (36 Sample Points):

{1,1} {1,2} {1,3} {1,4} ... ... ... {6,3} {6,4} {6,5} {6,6}

The Event Alex is looking for is a "double", where both dice have the same number. It is made up of these 6 Sample Points :

{1,1} {2,2} {3,3} {4,4} {5,5} and {6,6}

These are Alex's Results:

 After 100 Trials , Alex has 19 "double" Events ... is that close to what you would expect?

Probability Word Problems Worksheets

How to Approach Probability Word Problems? Many students find it challenging to solve probability problems, and they often find themselves stuck in the middle of the solution. But we are going to make things easy for you and help you solve such problems with ease and without stress. Three simple steps make probability word problems simple and less of a problem! Step 1: Identification - The first step of approaching a probability problem is to identify the experiment and the events for which you have to find the probability. Step 2: Number of Outcomes - The next step is to find the number of outcomes of the experiment under question. You will have to do this for every event required in step 1. Step 3: Finding Probability - After finding the number of outcomes for all events in the experiment, it is time to find the probability of all events identified in step 1. You can do this by using probability laws.

Basic Lesson

Demonstrates how to break a probability word problem down to the root. Provides a detailed example. What is probability of getting an ace if one card is picked up from a well shuffled pack of 52 cards?

Intermediate Lesson

This lesson focuses deciphering word problems into manageable probabilities problems. Each of the letters HELLO is written on a card. A card is chosen at random from the bag. What is the probability of getting the letter 'L'? Since the card is randomly selected, it means that each card has the same chance of being selected.

Independent Practice 1

Students practice determining the probability with 20 word problems. The answers can be found below. Each of letters in the word MART are on separate cards, face down on the table. If you pick a card at random, what is the probability that the letter will be M or A?

Independent Practice 2

Another 20 probability word problems. The answers can be found below. A jar contains ten blue marbles, five red marbles, and four green marbles and you pick one without looking. What is the probability that the marble will be either red or green?

Homework Worksheet

Reviews all skills in the unit. A great take home sheet. Also provides a practice problem. Each of the letters HELLO is written on a card. A card is chosen at random from the bag. What is the probability of getting the letter ‘L’? Since the card is randomly selected, it means that each card has the same chance of being selected.

10 problems that test probability word problem skills. Each of the letters in the word LOTTERY are on separate cards, face down on the table. If you pick a card at random, what is probability that its letter will be R or O?

Homework and Quiz Answer Key

Answers for the homework and quiz.

Answers for the lesson and practice sheets.

The Price of Gas...

With gas prices soaring, more and more people are looking for new cars with higher gas mileage. But, can you really believe the sticker? Apparently not. According to statistics, the average miles per gallon you can expect if a car maker's ad says " 30 mpg, city" is really only about 23.

Free probability simulations for 7th grade

These interactive probability simulations work in MS Excel, LibreOffice Calc, or any other spreadsheet program that can open xls files. Feel free to download them and use them with your students.

1. Dice roller

This is a simple virtual die roller (one die). It includes different sheets for 500 rolls, 1000 rolls, and 2000 rolls, so you can compare the three, and see how the experimental probabilities gets closer to the theoretical ones as we increase the number of rolls. The spreadsheet automatically calculates the frequencies for all six outcomes (1, 2, 3, 4, 5, 6) and their experimental probabilities.

Click to download or open Dice-roller.xls (Excel file).

2. Two-coin toss

This simulation uses 1s and 0s to represent heads and tails of two coins. It contains two sheets: one for 200 tosses and the other for 500 tosses. The spreadsheet automatically calculates the frequencies for all four outcomes (HH, HT, TH, TT) and their experimental probabilities.

Click to download or open two-coin-toss.xls (Excel file).

3. Number of males and females in a sample of 10 people

If you choose 10 people randomly, what is the probability that exactly 5 of them are male and 5 are female? Or that exactly 7 or them are male and 3 female? This simulation explores the situation with either 100, 500, or 2000 repetitions (or samples).

Click to download or open 10-people-females-males.xls (Excel file).

4. Sample of six students

This is a more complex simulation. We choose a sample of six students from a student population where the probability that a single student completed homework on time is 50%. The sampling is repeated either 100 or 500 times. We observe how many students out of the six completed homework on time.

The simulation uses random digits so that 0 represents a student who didn't complete homework on time and 1 represents a student who did. The spreadsheet automatically calculates the frequencies of each outcome (0-6 students), the probabilities, and draws a bar graph for the distribution.

The second sheet in the spreadsheet explores the same situation, but this time the probability that a single student completed homework on time is 70%.

Click to download or open random-digits-six-students.xls (Excel file).

Probability video lessons by Maria

By Maria Miller

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apt4Maths: SIMPLE PROBABILITY PowerPoint for GCSE Maths (Lesson 2 of 6 on Probability)

Subject: Mathematics

Age range: 14-16

Resource type: Lesson (complete)

Last updated

13 August 2024

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PowerPoint Presentation on Simple Probability (14 slides): Explains how to calculate simple probability, what is meant by ‘mutually exclusive’ and how to calculate the probability of something NOT happening. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes:

Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next.

It is 1 of a set of 6 PowerPoint Presentations on ‘Probability’ that APT Initiatives has published for GCSE (and Key Stage 3) Maths. The complete set of 6 PowerPoints (92 slides, excluding Title Pages) covers the following topics relating to ‘Probability’:

01 Introduction – Terminology and Values (9 slides). 02 Simple Probability (14 slides). 03 Expected Outcomes and Relative Frequency (14 slides). 04 Outcomes (19 slides). 05 Tree Diagrams, OR and AND (16 slides). 06 Venn Diagrams, Set Notation and Conditional Probability (20 slides).

The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

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