2. Conditional Probability

Independence — Quiz

Test your understanding of independence with 5 practice questions.

Practice Questions

Question 1

Which statement is the correct definition of independent events A and B?

Question 2

Given $P(A)=0.4$, $P(B)=0.5$, and $P(A\cap B)=0.2$, are events A and B independent?

Question 3

In a survey, 60\% of students passed math and 70\% passed English; 45\% passed both. Are passing math and passing English independent?

Question 4

If events A and B are independent, what is the expression for $P(A\cap B^{c})$ in terms of $P(A)$ and $P(B)$?

Question 5

Let X and Y be independent events with $P(X)=0.3$ and $P(Y)=0.4$. What is the probability that exactly one of X or Y occurs?