Curriculum · Counting & Probability · Probability
Probability Foundations
Sample spaces, equally likely outcomes, independence, and conditional probability.
Objectives
- Build sample spaces explicitly
- Multiply along independent events
- Compute conditional probabilities
The full interactive edition of this lesson ships in v1.5. The topic is live everywhere else — the problems below feed your Probability mastery now.
Train the topic
●●○○○Two fair dice are rolled. What is the probability the sum is ?AMC 8 style●●●○○A bag has red and blue marbles. Two are drawn without replacement. The probability both are red is in lowest terms. What is ?AMC 10 style●●●○○A family has two children. Given that at least one is a boy, what is the probability both are boys? (Assume boys and girls are equally likely and independent.)AMC 10 style