Question

2 and the probability that event A occurs given 2 In an experiment, the probability that event B occurs is 3 6 that event B occurs is 7 What is the probability that events A and B both occur? Simplify any fractions.

Answer 1

In order to find the probability that events A and B both occurs, we can use the following formula:

`P(A|B)=(P(A\cap B))/(P(B))`

So we have that:

`\begin{gathered} (6)/(7)=(P(A\cap B))/((2)/(3)) \\ 7\cdot P(A\cap B)=6\cdot(2)/(3) \\ 7\cdot P(A\cap B)=4 \\ P(A\cap B)=(4)/(7) \end{gathered}`