Law of Multiplication of Probability.

1.	Law of Multiplication of Probability.
Answer» A and B are any two events of a finite sample space U. The rule of obtaining the probability of the event AnB which corresponds to the occurrence of two events A and B simultaneously, is called the rule of multiplication of probability. This rule is written as under: P (A ∩ B) = P (A) . P (B \| A) OR P (A ∩ B) = P (B) . P (A\|B) For two independent events law of multiplication of probability is written as under: P(A ∩ B) = P(A) P(B) P (A’ ∩ B’) = P (A’) . P (B’) P(A ∩ B’) = P(A) – P(B’) P(A’ ∩ B) = P (A’) . P (B)

Answer»

A and B are any two events of a finite sample space U. The rule of obtaining the probability of the event AnB which corresponds to the occurrence of two events A and B simultaneously, is called the rule of multiplication of probability. This rule is written as under:

P (A ∩ B) = P (A) . P (B | A)
OR
P (A ∩ B) = P (B) . P (A|B)
For two independent events law of multiplication of probability is written as under:
P(A ∩ B) = P(A) P(B)
P (A’ ∩ B’) = P (A’) . P (B’)
P(A ∩ B’) = P(A) – P(B’)
P(A’ ∩ B) = P (A’) . P (B)

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Law of Multiplication of Probability.

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