Question

47% of the people at the party despise your "cauliflower surprise". Of these, 77% tell you...

47% of the people at the party despise your "cauliflower surprise". Of these, 77% tell you it's delightful, while 62% of those who don't despise it tell you it's delightful. Given that a person professes delight in your "cauliflower surprise", what is the probability that they are lying? Use a tree diagram to assist you.

Math   Statistics-And-Probability   
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Answer #1

Probability of people at the party that despise your "cauliflower surprise" , P(Despise)= 0.47

Probability of people at the party that do not despise your "cauliflower surprise" , P(Not Despise)= 1-0.47 = 0.53

Probability that people that says it delightful given that they despise the surprise, P(Delight| Despise) = 0.77

Probability that people that says it delightful given that they do not despise the surprise, P(Delight| Not Despise) = 0.62

Probability that a person despise it given that they profess it is delightful, P(Despise| Delight) =

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