Question

1 and the probability that event A occurs given 7 In an experiment, the probability that event B occurs is 9 2 that event B occurs is 7 What is the probability that events A and B both occur? Simplify any fractions.

Answer 1

Given :

The probability of B = 7/9

And the probability of A given B = 2/7

we need to find the probability of A and B So, it will be as follows:

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

so, the answer will be:

$\frac{7}{9}\cdot\frac{2}{7}=\frac{2}{9}$

so, the answer will be 2/9