We have
probability of B occurs is 5/8
probability that event A occurs given B occurs is 5/8
We have the next formula, that is the conditional probability formula
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]where
P(A|B)= probability of A given B
P(B)= probability of B
P(A∩B)=probability of A and B
so we need to isolate the P(A∩B) in order to obtain the probability that events A and B both occur
[tex]P\mleft(A\cap B\mright)=P(A|B)\cdot P(B)=\frac{5}{8}\cdot\frac{5}{8}=\frac{25}{64}[/tex]