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P(A + B) = P(A|B) x P(B) = P(A)xP(B|A)?

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User Janaz
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1 Answer

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Final answer:

The equation P(A + B) = P(A|B) x P(B) = P(A)xP(B|A) refers to the Product Rule in probability theory.

Step-by-step explanation:

The given equation P(A + B) = P(A|B) x P(B) = P(A)xP(B|A) is known as the Product Rule in probability theory.

According to the Product Rule, if A and B are two events defined on a sample space, then the probability of both events occurring (A AND B) is equal to the probability of event B occurring (P(B)) multiplied by the probability of event A occurring given that B has already occurred (P(A|B)).

Similarly, if A and B are independent events, then the probability of both events occurring (A AND B) is equal to the probability of event A occurring (P(A)) multiplied by the probability of event B occurring (P(B)).

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