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:

Option A: P(Male or Type B) > P(Male | Type B)

Step-by-step explanation:

Total Female = 85 type A, 12 type B  ⇒ 97 Female.

Total Male = 65 type A, 38 type B   ⇒ 103 Male

Total type A = 65 + 85 = 150

Total type B = 12 + 38 = 50

total number of people = 97 + 103 = 200

Then the probability would be:

P(Male | Type B) = 

                           =

                           = 0.368

P(Male or Type B) =

                              =  

                              =

                              =

                              = 0.575

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