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)?