Question

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below:

Male Female
Type A 65 85
Type B 38 12
Compare P(Female | Type B) with P(Female or Type B).
OP(Female | Type B) < P(Female or Type B)
OP(Female | Type B) > P(Female or Type B)
OP(Female | Type B) = P(Female or Type B)
O There is not enough information.

Answer 1

the answer is P(Female | Type B) < P(Female or Type B)

Explanation:

P(Female | Type B) = 12/50 =0.24

P(Female or Type B) = 97/200 + 50/200 - 12/200 = 27/40 = 0.675

so P(Female or Type B) > P(Female | Type B)