Free Printable Probability Worksheets

Probability experiments for 3rd to 6th grade. Each experiment is four sheets in order: predict and record every flip, roll or spin, tally the results, make a bar graph, then work out what should happen and decide whether a game is fair. Download a whole experiment, or just its Is It Fair? sheet. The answer key is the last page of each PDF.

Whole experiments (4 sheets + key)

Coin Flip Experiment printable preview

Coin Flip Experiment

Grades 3–5

Flip a coin 30 times. Predict, record, tally and graph, then place heads on the chance line and test a two-coin game. Includes answer key.

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Dice Sums Experiment printable preview

Dice Sums Experiment

Grades 3–6

Roll two dice 36 times and graph the sums. Fill in the table of all 36 ways, count the ways for each sum, and find out why a game that looks fair is not. Includes answer key.

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Spinner Experiment printable preview

Spinner Experiment

Grades 3–5

Make the spinner with a paper clip and spin it 40 times. Chance words, expected results, two fair or not fair games, and a fair spinner to design. Includes answer key.

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Is It Fair? sheets on their own

Coin Flip: Is It Fair? printable preview

Coin Flip: Is It Fair?

Grades 3–5

The chance of heads, impossible to certain, expected results, and a two-coin game to test. Includes answer key.

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Dice Sums: Is It Fair? printable preview

Dice Sums: Is It Fair?

Grades 4–6

All 36 ways two dice can land, the ways to make each sum, and a game where more sums does not mean more wins. Includes answer key.

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Spinner: Is It Fair? printable preview

Spinner: Is It Fair?

Grades 3–5

Parts of the spinner as chances, chance words, expected results in 40 spins, fair and unfair games, and a fair spinner to design. Includes answer key.

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About the Probability Worksheets

Probability is how likely something is to happen. A chance can be described in words, from impossible through unlikely, equally likely and likely to certain, or as a number of ways out of all the ways: a coin lands heads 1 way out of 2.

Children learn probability best by doing it. Each experiment starts with a prediction, then the child flips, rolls or spins and records every result. The tally chart and bar graph come next, which is also good graphing practice. The last sheet compares what happened with what should happen.

The results will rarely match the chance exactly. Thirty coin flips might give 13 heads or 18 heads. That is the point to talk about: chance tells you what happens over many tries, and the more tries, the closer the results get. Putting the whole class's results together shows this well.

The Is It Fair? sheets each end with a game. A game is fair when every player has the same number of ways to win. The dice game is the one to try: one player has six winning sums and the other only three, but the player with three sums wins more often, because sums near 7 can be rolled in more ways.

Frequently Asked Questions

What grade learns probability?
Chance words such as likely and unlikely often come up in 3rd to 5th grade. Probability as a number, experiments compared with expected results, and fair games are 7th grade standards, and many classes start them in 6th grade.
What do I need for the experiments?
A coin, two dice, or a paper clip and a pencil for the spinner. The spinner is printed on the first sheet of the spinner experiment: hold the paper clip on the centre dot with the pencil point and flick it.
Why did my results not match the answer key?
Sheets 1 to 3 are your own results, so they will be different every time. The key covers the Is It Fair? sheet, where the answers come from counting the ways each outcome can happen.
What makes a game fair?
Each player has the same chance of winning. Count the ways each player can win: if the numbers are equal, the game is fair.
Why is 7 the most common sum with two dice?
There are 6 ways to roll a 7 (1 and 6, 2 and 5, 3 and 4, and the same pairs the other way round) out of 36 ways the two dice can land. A 2 or a 12 can only be rolled 1 way each.