Question

3 In an experiment, the probability that event B occurs is –, and the probability that event A occurs given 7 3 that event B occurs is 8 What is the probability that events A and B both occur? Simplify any fractions.

Answer 1

Answer: P(A and B) = 9/56

Probability that event A occured = 3/7

Probability that event B occured = 3/8

`\begin{gathered} \text{Probability that event A and B occured = P(A) }\cdot\text{ P(B)} \\ \text{Probability of A and B = }(3)/(7)\text{ x }(3)/(8) \\ P(A\text{ and B) = }(9)/(56) \end{gathered}`