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(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.

Answer 1

The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table:

            Male      Female

Type A    65       85

Type B    38         12

Male type B =  Type B Male/Total Male

Female type B =  38/(65+38) = 12/103 = 0.11

Male or Type B= Male + Type B female/ total

= 103+12/(97+103)= 135/200 = 0.675

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

Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

Learn more about the probability here:

brainly.com/question/11234923

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