What is the probability that she also likes jelly

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Problem

1. Suppose that 80% of people like peanut butter, 89% like jelly, and 78% like both. Given that a randomly sampled person likes peanut butter, what is the probability that she also likes jelly?

2. Suppose that P(A) = 0.3 and P(B) = 0.7.

(a) Can you compute P (A and B) if you only know P(A) and P(B)?

(b) Assuming that events A and B arise from independent random processes:

• What is P (A and B)?

• What is P (A or B)?

• What is P (A|B)?

 

Reference no: EM131942658

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