Statistics simple probability worksheet

The probability of an event is the number of ways it can happen over the number of equally likely outcomes. Its complement, the event not happening, is 1 minus that. Multiply a probability by the number of trials to predict how often it happens.

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Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Simple Probability Date Period Answer each question. Give probabilities as fractions in lowest terms. A bag holds 4 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ not green $)$ If a machine makes a defective part with probability $\frac{3}{8}$ , about how many times would you expect it in 120 parts? A bag holds 3 red, 3 blue and 1 green marbles. One is drawn at random. Find $P ($ blue $)$ If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 56 parts? A bag holds 2 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not blue $)$ If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 105 free throws? A bag holds 5 red, 2 blue and 5 green marbles. One is drawn at random. Find $P ($ not blue $)$ If a spinner lands on red with probability $\frac{3}{8}$ , about how many times would you expect it in 64 spins? A bag holds 3 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not green $)$ If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 80 parts? A bag holds 2 red, 6 blue and 5 green marbles. One is drawn at random. Find $P ($ blue $)$ If a machine makes a defective part with probability $\frac{1}{6}$ , about how many times would you expect it in 132 parts? A bag holds 6 red, 6 blue and 1 green marbles. One is drawn at random. Find $P ($ not red $)$ If a machine makes a defective part with probability $\frac{2}{5}$ , about how many times would you expect it in 145 parts? A bag holds 1 red, 5 blue and 6 green marbles. One is drawn at random. Find $P ($ not red $)$ If a spinner lands on red with probability $\frac{1}{4}$ , about how many times would you expect it in 56 spins? A bag holds 4 red, 4 blue and 4 green marbles. One is drawn at random. Find $P ($ not red $)$ If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 48 parts? A bag holds 2 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ blue $)$ If a player makes a free throw with probability $\frac{2}{5}$ , about how many times would you expect it in 35 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.

A bag holds 4 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ not green $)$
If a machine makes a defective part with probability $\frac{3}{8}$ , about how many times would you expect it in 120 parts?
A bag holds 3 red, 3 blue and 1 green marbles. One is drawn at random. Find $P ($ blue $)$
If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 56 parts?
A bag holds 2 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not blue $)$
If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 105 free throws?
A bag holds 5 red, 2 blue and 5 green marbles. One is drawn at random. Find $P ($ not blue $)$
If a spinner lands on red with probability $\frac{3}{8}$ , about how many times would you expect it in 64 spins?
A bag holds 3 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not green $)$
If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 80 parts?
A bag holds 2 red, 6 blue and 5 green marbles. One is drawn at random. Find $P ($ blue $)$
If a machine makes a defective part with probability $\frac{1}{6}$ , about how many times would you expect it in 132 parts?
A bag holds 6 red, 6 blue and 1 green marbles. One is drawn at random. Find $P ($ not red $)$
If a machine makes a defective part with probability $\frac{2}{5}$ , about how many times would you expect it in 145 parts?
A bag holds 1 red, 5 blue and 6 green marbles. One is drawn at random. Find $P ($ not red $)$
If a spinner lands on red with probability $\frac{1}{4}$ , about how many times would you expect it in 56 spins?
A bag holds 4 red, 4 blue and 4 green marbles. One is drawn at random. Find $P ($ not red $)$
If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 48 parts?
A bag holds 2 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ blue $)$
If a player makes a free throw with probability $\frac{2}{5}$ , about how many times would you expect it in 35 free throws?



Sigma Prep · sigmaprep.io/worksheets Name Simple ProbabilityAnswer keyVersion 1 Date Period Answer each question. Give probabilities as fractions in lowest terms. A bag holds 4 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ not green $)$ $\frac{5}{9}$ If a machine makes a defective part with probability $\frac{3}{8}$ , about how many times would you expect it in 120 parts? $45$ A bag holds 3 red, 3 blue and 1 green marbles. One is drawn at random. Find $P ($ blue $)$ $\frac{3}{7}$ If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 56 parts? $14$ A bag holds 2 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not blue $)$ $\frac{3}{5}$ If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 105 free throws? $21$ A bag holds 5 red, 2 blue and 5 green marbles. One is drawn at random. Find $P ($ not blue $)$ $\frac{5}{6}$ If a spinner lands on red with probability $\frac{3}{8}$ , about how many times would you expect it in 64 spins? $24$ A bag holds 3 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not green $)$ $\frac{5}{6}$ If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 80 parts? $20$ A bag holds 2 red, 6 blue and 5 green marbles. One is drawn at random. Find $P ($ blue $)$ $\frac{6}{13}$ If a machine makes a defective part with probability $\frac{1}{6}$ , about how many times would you expect it in 132 parts? $22$ A bag holds 6 red, 6 blue and 1 green marbles. One is drawn at random. Find $P ($ not red $)$ $\frac{7}{13}$ If a machine makes a defective part with probability $\frac{2}{5}$ , about how many times would you expect it in 145 parts? $58$ A bag holds 1 red, 5 blue and 6 green marbles. One is drawn at random. Find $P ($ not red $)$ $\frac{11}{12}$ If a spinner lands on red with probability $\frac{1}{4}$ , about how many times would you expect it in 56 spins? $14$ A bag holds 4 red, 4 blue and 4 green marbles. One is drawn at random. Find $P ($ not red $)$ $\frac{2}{3}$ If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 48 parts? $12$ A bag holds 2 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ blue $)$ $\frac{1}{7}$ If a player makes a free throw with probability $\frac{2}{5}$ , about how many times would you expect it in 35 free throws? $14$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Simple ProbabilityAnswer keyVersion 1

Date Period

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

A bag holds 4 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ not green $)$ $\frac{5}{9}$
If a machine makes a defective part with probability $\frac{3}{8}$ , about how many times would you expect it in 120 parts? $45$
A bag holds 3 red, 3 blue and 1 green marbles. One is drawn at random. Find $P ($ blue $)$ $\frac{3}{7}$
If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 56 parts? $14$
A bag holds 2 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not blue $)$ $\frac{3}{5}$
If a player makes a free throw with probability $\frac{1}{5}$ , about how many times would you expect it in 105 free throws? $21$
A bag holds 5 red, 2 blue and 5 green marbles. One is drawn at random. Find $P ($ not blue $)$ $\frac{5}{6}$
If a spinner lands on red with probability $\frac{3}{8}$ , about how many times would you expect it in 64 spins? $24$
A bag holds 3 red, 2 blue and 1 green marbles. One is drawn at random. Find $P ($ not green $)$ $\frac{5}{6}$
If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 80 parts? $20$
A bag holds 2 red, 6 blue and 5 green marbles. One is drawn at random. Find $P ($ blue $)$ $\frac{6}{13}$
If a machine makes a defective part with probability $\frac{1}{6}$ , about how many times would you expect it in 132 parts? $22$
A bag holds 6 red, 6 blue and 1 green marbles. One is drawn at random. Find $P ($ not red $)$ $\frac{7}{13}$
If a machine makes a defective part with probability $\frac{2}{5}$ , about how many times would you expect it in 145 parts? $58$
A bag holds 1 red, 5 blue and 6 green marbles. One is drawn at random. Find $P ($ not red $)$ $\frac{11}{12}$
If a spinner lands on red with probability $\frac{1}{4}$ , about how many times would you expect it in 56 spins? $14$
A bag holds 4 red, 4 blue and 4 green marbles. One is drawn at random. Find $P ($ not red $)$ $\frac{2}{3}$
If a machine makes a defective part with probability $\frac{1}{4}$ , about how many times would you expect it in 48 parts? $12$
A bag holds 2 red, 1 blue and 4 green marbles. One is drawn at random. Find $P ($ blue $)$ $\frac{1}{7}$
If a player makes a free throw with probability $\frac{2}{5}$ , about how many times would you expect it in 35 free throws? $14$

How to do these

A bag holds 3 red, 5 blue and 2 green marbles. Find $P ($ not red $)$

There are 10 marbles and 7 are not red.

The answer is $\frac{7}{10}$ .

Where students go wrong

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.

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 4 red, 4 blue and 5 green marbles. One is drawn at random. Find $P ($ red $)$ → $\frac{4}{13}$
Predictions from a probability or a sample: If a machine makes a defective part with probability $\frac{2}{5}$ , about how many times would you expect it in 95 parts? → $38$

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.

Statistics simple probability worksheet

Select your difficulty

Simple Probability

Simple ProbabilityAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

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