Grade 12 Statistics & Probability Worksheets
Free printable statistics & probability practice for Grade 12 students. Generate problems, solve them on screen or paper, and download as PDF.
What your child will practice
- PermutationsSolve problems involving permutations (with and without repetition).
- CombinationsSolve problems involving combinations and distinguish between permutations and combinations.
- Probability BasicsCalculate theoretical and experimental probability of events.
- Binomial DistributionCalculate probabilities using the binomial distribution formula.
- Normal DistributionApply the properties of the normal distribution and calculate z-scores.
- Normal Probability CalculationsCalculate probabilities using the standard normal distribution table or technology.
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Calculate the number of permutations of 5 items taken 3 at a time. Use the notation P(5, 3).
- 2.Calculate the number of combinations of 6 items taken 2 at a time. Use the notation C(6, 2).
- 3.A fair coin is tossed 4 times. What is the probability of getting exactly 2 heads? (Binomial Probability)
- 4.A standardized test has a mean score of 70 and a standard deviation of 10. What is the z-score for a raw score of 85?
- 5.Given a normal distribution with a mean (μ) of 50 and a standard deviation (σ) of 5, find the probability that a randomly selected value is between 45 and 55. P(45 < X < 55)
- 6.A bag contains 3 red marbles and 2 blue marbles. If you draw one marble, then another without replacement, what is the probability that the first is red and the second is blue? P(Red then Blue)
Full range of grade expectations
Solve each problem. Show your work.
- 1.A quality control inspector is checking a batch of 500 widgets. If 3% of the widgets are defective, what is the probability that a randomly selected widget is not defective? What is the expected number of non-defective widgets in the batch?
- 2.In a class of 30 students, 12 students play soccer, 15 students play basketball, and 5 students play both. What is the probability that a randomly selected student plays soccer or basketball? What is the probability that a student plays neither sport?
- 3.A company manufactures light bulbs with a mean lifespan of 1000 hours and a standard deviation of 150 hours. Assuming the lifespans are normally distributed, what is the probability that a randomly selected light bulb will last between 850 and 1150 hours? (Use a z-score table or calculator)
- 4.A high school is selecting a committee of 4 students from a group of 10 seniors and 8 juniors. If the committee must have at least 2 seniors, how many different committees can be formed?
- 5.A researcher collects data on the number of hours students study per week and their corresponding exam scores. They find a strong positive linear correlation. If the regression equation is Score = 55 + 3 × (Hours Studied), what is the predicted exam score for a student who studies 8 hours per week? If a student scores 91, how many hours did they likely study?
- 6.A fair coin is tossed 10 times. What is the probability of getting exactly 7 heads? (Use the binomial probability formula)
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Create a Free AccountFrequently Asked Questions
How often should my child practice statistics & probability?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.