Question

The culinary herb cilantro is very polarizing: Some people love it and others hate it. A large survey of 12,087 American adults of European ancestry asked whether they like or dislike the taste of cilantro. Here are the numbers of men and women in the study for each answer:

	Number of men	Number of women
Dislikes cilantro	1632	1549
Likes cilantro	5165	3741

1. What is the conditional probability that such an adult likes cilantro, given that the adult is male?     

2. What is the probability that a selected American adult of European ancestry at random is male and dislikes cilantro?   

3. What is the conditional probability that such an adult is female, given that the adult likes cilantro?   

For all these questions, the answer format is .###

Answer 1

	Number of men	Number of women	Total
Dislikes cilantro	1632	1549	3181
Likes cilantro	5165	3741	8906
Total	6797	5290	12087

Consider the following events.

A= The adult is a male

B= The adult is a female

C= The adult likes cilantro

D= The adult dislikes cilantro

1) We need to find the conditional probability that the adult likes cilantro, given that the adult is male.

That is, we need to find, P(C|A)

Required Probability= 0.7599

2) We need to find the probability that the selected American adult of European ancestry at random is male and dislikes cilantro.

That is, we need to find P(A and D)

Required Probability= 0.135

3) We need to find the conditional probability that the adult is female, given that the adult likes cilantro.

That is, we need to find P(B|C)

Required Probability= 0.4201

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