The culinary herb cilantro is very polarizing: some people love it and others ha

Question

The culinary herb cilantro is very polarizing: some people love it and others hate it. A large survey of 12, 087 American adults asked whether they like or dislike the taste of cilantro. Here are the numbers of men and women in the study for each answer: a) Find the conditional probability that an adult likes cilantro, given that the adult is male. b) Find the conditional probability that an adult is a male, given that the adult likes cilantro. Choose an American adult. What is the probability that this person is a male and likes cilantro?

Explanation / Answer

a) P(cilantro/male) = 1632/(1632+5165) = 0.2401

b) P(male/cilantro) = 1632/(1632+1549) = 0.5130

c)  P(male and cilantro) = 1632/(1632+1549+5165+3741) = 0.1350

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