Probability practice test
Try a fresh mix of five probability practices. See how you did in each, understand your answers, and choose what you’d like to practice next.
Ready to take the test?
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What you get
- Your score in each of the five practices.
- An explanation for every answer.
- A full review saved in Progress.
Before you start
- No countdown. Time is recorded, but doesn’t affect your score.
- Choose an answer, then continue. You can go back or skip.
- Answers and explanations appear when you finish, and stay available in Progress.
Practices you may try
Each test picks five of these 8 practices, with four questions per practice. Both the mix and questions vary between attempts.
Counting and combinations
Count choices, ordered assignments and unordered groups.
Reason with probability
Use equally likely outcomes, complements and dependent draws.
Conditional probability
Restrict the sample space to the information given.
Switch or stay
Calculate how the host’s rule changes the evidence.
Risk and reward
Separate expected net points from the chance of reaching a target.
Birthday collisions
Compare matching dates, fixed dates and conditional collisions.
Pattern races
Race coin patterns and discover why equally likely sequences can have different waiting times.
Nontransitive dice
Find dice that beat one another in a cycle, then test how rolling twice changes the best response.