Agroup 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)

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.