Question

in an experiment the probablility that event A occurs is 3/7 the probability that event B occurs is 1/5 and the probabliity that events A and B both occur is 1/8

Answer 1

In order to calculate the probability of A given B, we can use the formula:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

So we have that:

$P(A|B)=\frac{\frac{1}{8}}{\frac{1}{5}}=\frac{1}{8}\cdot5=\frac{5}{8}$