Simple probability worksheet for Statistics

In Statistics a probability is a long-run rate: the fraction of times an outcome happens over many repeats. Here it comes from counting equally likely outcomes, and it becomes a prediction when you multiply by the number of trials.

Also taught in Pre-Algebra, at its own level and with its own examples.

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Pick more than one for a sheet that mixes them.

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Sigma Prep · sigmaprep.io/worksheets Name Simple Probability Date Period Answer each question. Give probabilities as fractions in lowest terms. Find the probability of an event A bag holds 9 marbles: 5 red, 2 blue and 2 green. One is drawn at random. Find $P (not blue)$ A bag holds 10 marbles: 5 red, 2 blue and 3 green. One is drawn at random. Find $P (not green)$ A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (blue)$ A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (green)$ A bag holds 11 marbles: 2 red, 6 blue and 3 green. One is drawn at random. Find $P (not red)$ A bag holds 15 marbles: 5 red, 4 blue and 6 green. One is drawn at random. Find $P (red)$ A bag holds 7 marbles: 1 red, 1 blue and 5 green. One is drawn at random. Find $P (not red)$ A bag holds 13 marbles: 4 red, 6 blue and 3 green. One is drawn at random. Find $P (blue)$ A bag holds 6 marbles: 4 red, 1 blue and 1 green. One is drawn at random. Find $P (not green)$ A bag holds 8 marbles: 1 red, 3 blue and 4 green. One is drawn at random. Find $P (not blue)$ Predict how many If a player makes a free throw with probability $\frac{3}{8}$ , about how many times would you expect it in 56 free throws? If a machine makes a defective part with probability $\frac{1}{20}$ , about how many times would you expect it in 600 parts? If a spinner lands on red with probability $\frac{1}{6}$ , about how many times would you expect it in 108 spins? If a machine makes a defective part with probability $\frac{1}{100}$ , about how many times would you expect it in 1100 parts? If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 110 spins? If a player makes a free throw with probability $\frac{1}{3}$ , about how many times would you expect it in 87 free throws? If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 115 spins? If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 25 free throws? If a machine makes a defective part with probability $\frac{1}{40}$ , about how many times would you expect it in 1000 parts? If a player makes a free throw with probability $\frac{1}{6}$ , about how many times would you expect it in 36 free throws? Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Simple Probability

Date Period

Answer each question. Give probabilities as fractions in lowest terms.

Find the probability of an event
A bag holds 9 marbles: 5 red, 2 blue and 2 green. One is drawn at random. Find $P (not blue)$
A bag holds 10 marbles: 5 red, 2 blue and 3 green. One is drawn at random. Find $P (not green)$
A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (blue)$
A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (green)$
A bag holds 11 marbles: 2 red, 6 blue and 3 green. One is drawn at random. Find $P (not red)$
A bag holds 15 marbles: 5 red, 4 blue and 6 green. One is drawn at random. Find $P (red)$
A bag holds 7 marbles: 1 red, 1 blue and 5 green. One is drawn at random. Find $P (not red)$
A bag holds 13 marbles: 4 red, 6 blue and 3 green. One is drawn at random. Find $P (blue)$
A bag holds 6 marbles: 4 red, 1 blue and 1 green. One is drawn at random. Find $P (not green)$
A bag holds 8 marbles: 1 red, 3 blue and 4 green. One is drawn at random. Find $P (not blue)$

Predict how many
If a player makes a free throw with probability $\frac{3}{8}$ , about how many times would you expect it in 56 free throws?
If a machine makes a defective part with probability $\frac{1}{20}$ , about how many times would you expect it in 600 parts?
If a spinner lands on red with probability $\frac{1}{6}$ , about how many times would you expect it in 108 spins?
If a machine makes a defective part with probability $\frac{1}{100}$ , about how many times would you expect it in 1100 parts?
If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 110 spins?
If a player makes a free throw with probability $\frac{1}{3}$ , about how many times would you expect it in 87 free throws?
If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 115 spins?
If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 25 free throws?
If a machine makes a defective part with probability $\frac{1}{40}$ , about how many times would you expect it in 1000 parts?
If a player makes a free throw with probability $\frac{1}{6}$ , about how many times would you expect it in 36 free throws?



Sigma Prep · sigmaprep.io/worksheets Name Simple ProbabilityAnswer keyVersion 2 Date Period Answer each question. Give probabilities as fractions in lowest terms. Find the probability of an event A bag holds 9 marbles: 5 red, 2 blue and 2 green. One is drawn at random. Find $P (not blue)$ $\frac{7}{9}$ A bag holds 10 marbles: 5 red, 2 blue and 3 green. One is drawn at random. Find $P (not green)$ $\frac{7}{10}$ A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (blue)$ $\frac{3}{7}$ A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (green)$ $\frac{1}{7}$ A bag holds 11 marbles: 2 red, 6 blue and 3 green. One is drawn at random. Find $P (not red)$ $\frac{9}{11}$ A bag holds 15 marbles: 5 red, 4 blue and 6 green. One is drawn at random. Find $P (red)$ $\frac{1}{3}$ A bag holds 7 marbles: 1 red, 1 blue and 5 green. One is drawn at random. Find $P (not red)$ $\frac{6}{7}$ A bag holds 13 marbles: 4 red, 6 blue and 3 green. One is drawn at random. Find $P (blue)$ $\frac{6}{13}$ A bag holds 6 marbles: 4 red, 1 blue and 1 green. One is drawn at random. Find $P (not green)$ $\frac{5}{6}$ A bag holds 8 marbles: 1 red, 3 blue and 4 green. One is drawn at random. Find $P (not blue)$ $\frac{5}{8}$ Predict how many If a player makes a free throw with probability $\frac{3}{8}$ , about how many times would you expect it in 56 free throws? $21$ If a machine makes a defective part with probability $\frac{1}{20}$ , about how many times would you expect it in 600 parts? $30$ If a spinner lands on red with probability $\frac{1}{6}$ , about how many times would you expect it in 108 spins? $18$ If a machine makes a defective part with probability $\frac{1}{100}$ , about how many times would you expect it in 1100 parts? $11$ If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 110 spins? $44$ If a player makes a free throw with probability $\frac{1}{3}$ , about how many times would you expect it in 87 free throws? $29$ If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 115 spins? $46$ If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 25 free throws? $5$ If a machine makes a defective part with probability $\frac{1}{40}$ , about how many times would you expect it in 1000 parts? $25$ If a player makes a free throw with probability $\frac{1}{6}$ , about how many times would you expect it in 36 free throws? $6$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Simple ProbabilityAnswer keyVersion 2

Date Period

Answer each question. Give probabilities as fractions in lowest terms.

Find the probability of an event
A bag holds 9 marbles: 5 red, 2 blue and 2 green. One is drawn at random. Find $P (not blue)$ $\frac{7}{9}$
A bag holds 10 marbles: 5 red, 2 blue and 3 green. One is drawn at random. Find $P (not green)$ $\frac{7}{10}$
A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (blue)$ $\frac{3}{7}$
A bag holds 7 marbles: 3 red, 3 blue and 1 green. One is drawn at random. Find $P (green)$ $\frac{1}{7}$
A bag holds 11 marbles: 2 red, 6 blue and 3 green. One is drawn at random. Find $P (not red)$ $\frac{9}{11}$
A bag holds 15 marbles: 5 red, 4 blue and 6 green. One is drawn at random. Find $P (red)$ $\frac{1}{3}$
A bag holds 7 marbles: 1 red, 1 blue and 5 green. One is drawn at random. Find $P (not red)$ $\frac{6}{7}$
A bag holds 13 marbles: 4 red, 6 blue and 3 green. One is drawn at random. Find $P (blue)$ $\frac{6}{13}$
A bag holds 6 marbles: 4 red, 1 blue and 1 green. One is drawn at random. Find $P (not green)$ $\frac{5}{6}$
A bag holds 8 marbles: 1 red, 3 blue and 4 green. One is drawn at random. Find $P (not blue)$ $\frac{5}{8}$

Predict how many
If a player makes a free throw with probability $\frac{3}{8}$ , about how many times would you expect it in 56 free throws? $21$
If a machine makes a defective part with probability $\frac{1}{20}$ , about how many times would you expect it in 600 parts? $30$
If a spinner lands on red with probability $\frac{1}{6}$ , about how many times would you expect it in 108 spins? $18$
If a machine makes a defective part with probability $\frac{1}{100}$ , about how many times would you expect it in 1100 parts? $11$
If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 110 spins? $44$
If a player makes a free throw with probability $\frac{1}{3}$ , about how many times would you expect it in 87 free throws? $29$
If a spinner lands on red with probability $\frac{2}{5}$ , about how many times would you expect it in 115 spins? $46$
If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 25 free throws? $5$
If a machine makes a defective part with probability $\frac{1}{40}$ , about how many times would you expect it in 1000 parts? $25$
If a player makes a free throw with probability $\frac{1}{6}$ , about how many times would you expect it in 36 free throws? $6$

How to do these

A spinner lands on blue with probability $\frac{3}{10}$ . About how many blues would you expect in 250 spins?

Multiply the probability by the number of spins.
3/10 × 250 = 75.

The answer is $75$ .

Where students go wrong

Treating the prediction as exact. A probability of 0.3 says about 75 blues in 250 spins; getting 70 or 81 is ordinary chance variation, not proof the probability was wrong.

Also called probability of an event, complement, expected outcomes or making predictions.

What you can put on this worksheet

One event, and its complement: A bag holds 13 marbles: 4 red, 4 blue and 5 green. One is drawn at random. Find $P (red)$ → $\frac{4}{13}$
Predictions from a probability or a sample: If a player makes a free throw with probability $\frac{2}{5}$ , about how many times would you expect it in 115 free throws? → $46$

Questions about these worksheets

Yes. Every simple probability sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Statistics is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the simple probability questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: one event, and its complement and predictions from a probability or a sample. Tick as many as you want and set how many of each, or let it spread them evenly.

Using the count of the other colors as the denominator. The denominator is every marble in the bag, including the ones you are asking about.

Simple probability worksheet for Statistics

Select your difficulty

Find the probability of an event

Predict how many

Find the probability of an event

Predict how many

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these simple probability worksheets free?+

Do the simple probability worksheets come with an answer key?+

Are these simple probability worksheets printable?+

What grade are these simple probability worksheets for?+

Can I get a different version of the same simple probability worksheet?+

Is this a free alternative to Kuta Software for simple probability?+

Can I choose how hard the simple probability questions are?+

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What do students get wrong with simple probability?+