Let A and B be two events, P(A) = 0.4, P(B) = 0.6, P(A∩B) = 0.2，Find:P(A|B)(Please keep four decimal places

Question

Let A and B be two events, P(A) = 0.4, P(B) = 0.6, P(A∩B) = 0.2，Find:P(A|B)(Please keep four decimal places
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Solution 1

The conditional probability of event A given event B is denoted as P(A|B) and is calculated as:

P(A|B) = P(A ∩ B) / P(B)

where:

  • P(A ∩ B) is the probability of both events A and B occurring
  • P(B) is the probability of event B

In this case:

  • P(A ∩ B) = 0.2
  • P(B) = 0.6

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