11. Discrete Probability

Independence — Quiz

Test your understanding of independence with 5 practice questions.

Practice Questions

Question 1

Which condition defines two events $A$ and $B$ as independent?

Question 2

If $P(A)=\frac{1}{2}$ and $P(B)=\frac{1}{3}$, and $A$ and $B$ are independent, what is $P(A\cap B)$?

Question 3

If $A$ and $B$ are independent and $P(B)>0$, what is $P(A\mid B)$?

Question 4

Suppose $P(A)=0.4$, $P(B)=0.5$, and $P(A\cap B)=0.2$. Are $A$ and $B$ independent?

Question 5

A fair coin is tossed twice. Are the events "the first toss is heads" and "the second toss is heads" independent?