The conditional probability Pr[B|A] is 4/5; the conditional probability P[B|not A] is 2/5, and the unconditional probability of B is 1/2. What is the probability of A?
2026-04-06 01:49:16.1775440156
Conditional probability, how to find P(A)
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I would use the law of total probability, which implies that $$\Pr[B] = \Pr[B \, | \, A] \Pr[A] + \Pr[B \, | \, \text{not } A] \Pr[\text{not } A].$$