Experimental and Theoretical Probability Worksheets
Express probabilities as exact fractions, with assumptions about equally likely outcomes stated explicitly.
Before you begin
Read tables and graphs, count outcomes, and calculate with fractions.
Worked example
A fair coin is tossed 40 times and lands heads 8 times. What is the experimental probability of heads?
- Use the observed head count divided by the total number of trials.
- The theoretical probability is 1/2, but the experimental fraction may differ.
Answer: 1/5
Check your result using the method in the example before moving to the next question.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
A fair coin is tossed 50 times and lands heads 35 times. What is the experimental probability of heads?
2
A fair coin is tossed 70 times and lands heads 39 times. What is the experimental probability of heads?
3
A fair coin is tossed 30 times and lands heads 13 times. What is the experimental probability of heads?
4
A fair coin is tossed 30 times and lands heads 29 times. What is the experimental probability of heads?
5
A fair coin is tossed 60 times and lands heads 32 times. What is the experimental probability of heads?
6
A fair coin is tossed 20 times and lands heads 7 times. What is the experimental probability of heads?
Answer Key
1. 7/102. 39/703. 13/304. 29/305. 8/156. 7/20