Multiplication Theorem, Independent Events

Grade 12 Maths Higher — Multiplication Theorem, Independent Events: 25 practice questions with instant scoring and explanations.

1. Multiplication theorem:
2. Independence: A, B independent iff:
3. If A, B, C independent: P(A∩B∩C) =
4. Mutual independence requires:
5. Two fair dice: events independent?:
6. P(A∩B∩C) = P(A)P(B)P(C) needs:
7. Complement independent if A independent:
8. Correlated events:
9. Bernoulli trial:
10. Binomial: n independent Bernoulli:
11. Multiplication for multiple events:
12. Tree diagrams show:
13. Independence and mutual exclusivity:
14. If A, B mutually exclusive and independent:
15. Sequential independence: draw with replacement:
16. Without replacement:
17. Birthday problem assumes:
18. Joint distribution: P(X=x, Y=y) when independent:
19. Conditional distribution: f(Y|X=x) when independent:
20. Covariance Cov(X,Y) = 0 when:
21. For independent variables: E[XY] =
22. Variance: Var(X+Y) =
23. Correlation coefficient when independent:
24. Independence in multivariate:
25. Review question for Multiplication Theorem, Independent Events