Question

In an experiment, the probability that event B occurs is 6 and the probability that event A occurs given 1 that event B occurs is. 9 What is the probability that events A and B both occur? Simplify any fractions.

Answer 1

To find the probability we use the multiplication rule:

$P(A\cap B)=P(B)P(A|B)$

Plugging the values given we have that:

$P(A\cap B)=(\frac{7}{8})(\frac{3}{5})=\frac{21}{40}$

Therefore the probability is 21/40