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:

Compare P(Female or Type B) with P(Female | Type B).

There is not enough information.

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

P(Female or Type B) = P(Female | Type B)

P(Female or Type B) < P(Female | Type B)

Answer 1

The answer for this question would be the first option. Basing on the given table above and the values, we will compute P(Female or Type B) first. So "type B or Female total" total is 48+97=145. Now, this count shows that the total number of people in the whole thing is 55+75+48+22=200.
This would show that P(Female or Type B)=145/200.
and P(female|type B)=22/70
Now to compare the numbers 145/200 > 22/70
So, to conclude: P(Female or Type B) > P(Female | Type B)
Hope this answers your question.