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:
Answer choices:
Compare P(Male or Type B) with P(Male | Type B). (5 points)
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 third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76

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.

P(Male or Type B) = (number of male + number of type B - number that are both)/total population

$\rm = \dfrac{103 + 50- 38}{200 }$

= 0.575

P(Male | Type B) = (number of male people inside the type B)/(number of Type B people)

= 38/(38 + 12)

= 0.76

0.575 < 0.76

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

Thus, the option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76

Learn more about the probability here:

brainly.com/question/11234923

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