Question

Zayn knows that during the month of April, the probability that it is windy on his way to work is 0.5, the probability that it rains on his way to work is 0.7 and the probability that it is both windy and raining on his way to work is 0.3.

Work out:
the probability it is windy, given that it is raining

the probability it is raining, given that it is windy.

Answer 1

Explanation:

the probability it is windy, given that it is raining = p(w|r)=p(wπr)/p(r) =0.3/0.7 =3/7= 0.429

the probability it is raining, given that it is windy.

p(r|w)=p(wπr)/p(w) =0.3/0.5 =3/5 = 0.6