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Question 4.64

4.64 Conditional probabilities.

Suppose that P(A)=0.5, P(B)=0.3, and P(B | A)=0.2.

  1. Find the probability that both A and B occur.
  2. Use a Venn diagram to explain your calculation.
  3. What is the probability of the event that B occurs and A does not?
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