Free Probability Worksheets
Free instant PDF — no signup, no watermark. The preview above is exactly what prints, and the answer key is page two of the same file.
Shares these exact options — anyone with the link gets this sheet.
Teacher or parent? Pin this so it's there when you need it.
Save to PinterestProbability worksheets are printable sheets where students decide how likely an event is — on a spinner, a bag of marbles, a coin or a number cube — and write it as a fraction or a likelihood word. This generator draws six kinds at three levels, from impossible-to-certain to compound events and experimental versus theoretical probability, and every answer is counted from the picture it drew.
- Sheet types:
- Likelihood, one event, complement, compound, sample space, experimental vs. theoretical
- Pages:
- 2 — worksheet + answer key
- Problems:
- 6–12 per sheet (compound: up to 10)
- Paper sizes:
- US Letter and A4
- Cost:
- Free — no signup, no email, no watermark
Updated
How to use this probability worksheet generator
Pick a sheet type, a difficulty and how many problems you want, and the preview redraws at once with the exact sheet you will print. Click Download PDF and print: page one is the worksheet, page two is the answer key. Change the sheet type, difficulty or number of problems and you get a new set of spinners, bags and number cubes; the same settings always print the same sheet, so a class set can be reprinted identically.
What's included on each probability worksheet
Every sheet is a full page with a name and date line. Each problem draws its own spinner with equal sectors, bag of up to 12 marbles, coin or number cube, with a color key at the top so the colors still read on a black-and-white printer. Answers are written as fractions in simplest form; where the counted fraction simplifies, the key shows both, such as 2/8 = 1/4. The likelihood sheet prints a scale from 0 to 1, the sample space sheet prints a table to fill in, and the experimental sheet prints tally marks to count.
Tips for teaching probability
- Start with a coin and a number cube. Every outcome is different, so counting the outcomes that match is the whole job before repeated colors make it harder.
- Have students say the total out loud first. Most wrong answers count the right sectors over the wrong number of sectors.
- Turn a printed spinner into a real one: hold a paper clip at the center with a pencil tip and flick it. Thirty spins make an experiment to compare with the theoretical answer.
- Before compound events, check that students can multiply fractions — P(heads and 4) is 1/2 × 1/6 — with our fraction worksheets.
- Use the likelihood sheet as a warm-up: deciding between unlikely and likely before calculating anything builds the sense of size that catches an answer like 7/5.
Customization options
Sheet type
Six sheets. Likelihood asks whether each event is impossible, unlikely, equally likely, likely or certain. Probability of one event asks for P(event) as a fraction. Complement gives P(A) and asks for P(not A). Compound events pairs two objects, such as a coin and a spinner, and asks for P(A and B). Sample space table lists every outcome of two events in a table to fill in. Experimental vs. theoretical prints the tally marks of an experiment and asks for both probabilities.
Difficulty
Easy uses small spinners, coins, number cubes and bags with two colors. Medium adds bigger spinners and bags, number spinners, and events such as even, odd, greater than and less than. Hard goes up to 12 sectors and 12 marbles in four colors and adds events with “or”. On the sample space sheet, hard is the two-number-cube table of sums.
Problems
6–12 problems a sheet. Compound sheets go up to 10, because each of their problems draws two pictures and every picture has to stay big enough to read.
Paper size
US Letter (8.5 × 11 inches) or A4 (210 × 297 mm). The problems are the same on both — only the layout changes to fit the paper.
Frequently asked questions
Which free probability worksheet maker includes an answer key?
This one: every probability worksheet here downloads as a two-page PDF whose second page is the answer key, free with no signup and no watermark. The key repeats the worksheet with each answer written in blue on its line, so the two pages line up when you hold them together.
What grade are these probability worksheets for?
Medium and hard sheets follow the grade 7 probability standards: likelihood (7.SP.C.5), experimental and theoretical probability (7.SP.C.6–7), simple probability as a fraction (7.SP.C.7a), and compound events and sample spaces (7.SP.C.8). Easy sheets use small spinners, coins and bags of a few marbles, so they work as an introduction for upper elementary students as well.
How do I write a probability as a fraction?
Count the outcomes that match the event, put that number over the total number of equally likely outcomes, and simplify. A spinner with 3 red sectors out of 8 gives P(red) = 3/8; a bag with 4 blue marbles out of 10 gives P(blue) = 4/10, which simplifies to 2/5.
How do I know the probability answer key is right?
Every answer is counted from the exact spinner, bag, coin or number cube drawn on that sheet. An automated test then recounts every answer from the drawing itself — reading each sector label and each marble back off the picture — whenever the generator changes, and fails if a picture and its answer disagree.
Is there a printable sample space worksheet for two dice?
Yes. Choose Sample space table at the hard level and you get a 6 by 6 table for two number cubes to fill in with the sum of each pair, followed by questions such as P(sum of 7) and P(doubles). The answer key fills in all 36 sums. Easy and medium levels use a coin with a spinner, or a coin with a number cube.
What is the difference between experimental and theoretical probability?
Theoretical probability is what should happen, worked out from the outcomes — rolling a 4 on a number cube is 1/6. Experimental probability is what actually happened: the count over the number of trials, so 7 fours in 30 rolls is 7/30. The experimental sheet prints the tally marks of a simulated experiment and asks for both numbers.
Why does the answer key show answers like 2/8 = 1/4?
Because both are correct. Whenever the counted fraction simplifies, the key prints it first and its simplest form second, so a student who wrote 2/8 can see that it equals 1/4. The worksheet asks for simplest form, and the key shows where that form comes from.
Can my child practice impossible, unlikely, likely and certain events?
Yes — the likelihood sheet asks whether each event is impossible, unlikely, equally likely, likely or certain, with a scale from 0 to 1 printed at the top. It only uses events that are clearly one word: anything with a probability between one third and one half, or between one half and two thirds, is left out so the key can't be argued with.
Related worksheets
- Fraction worksheetsSimplify, compare and multiply the fractions probability uses.
- Bar graph worksheetsRead and draw data — tally charts, pictographs and pie charts.
- Multiplication worksheetsCounting outcomes of two events is a multiplication fact.
- Division worksheetsFacts for dividing a fraction down to its simplest form.
- Billionaire money math worksheetsMore middle-school math: rates, big numbers and ratios.
- 6th grade worksheetsRatios, fractions and data — the year before probability.
- Math worksheetsEvery math generator on the site, grouped by skill.