Question

Event A: Flipping heads on a coin #1. Event B: Flipping heads on a coin # 2. What is P(A and B)? A) 1/8B) 1/6C) 1/4D) 1/2

Answer 1

If the probability of the event A is P(A) and the probability of the event B is P(B), then the probability P(A and B) is P(A)*P(B).

Since both P(A) and P(B) are equal to 1/2, then:

$P(A\text{ and }B)=P(A)\cdot P(B)=\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}$