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According to the general equation for conditional probability, if P(A|B)= 3/7and P(B) = 8/7 what is P(A|B)?

User Sasankad
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Solution

For this case we have the following probabilities:

P(A|B) = 3/7 and P(B)= 8/7

We can use the following definition from the Bayes theorem


P(A|B)=(P(A\cap B))/(P(B))
P(A|B)=(P(A\cap B))/(P(B))

P(A ∩ B)= P(A|B)* P(B)= 3/7 * 8/7 = 24/49

User Kurt Schultz
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