State the law of multiplication of probability for two events A and B.

1.	State the law of multiplication of probability for two events A and B. Write the law of multiplication of probability if these two events are independent.
Answer» The law of multiplication of probability for two events A and B is as follows: P(A ∩ B) = P(A\|B) ∙ P(B) OR P(A ∩ B) = P(B\|A) ∙ P(A) If two events A and B are independent, P(A\|B) = P(A) and P(B\|A)= P(B). So the law of multiplication of probability for two events A and B is written as follows: P(A ∩ B) = P(A) ∙ P(B)

State the law of multiplication of probability for two events A and B. Write the law of multiplication of probability if these two events are independent.

Answer»

The law of multiplication of probability for two events A and B is as follows:

P(A ∩ B) = P(A|B) ∙ P(B) OR
P(A ∩ B) = P(B|A) ∙ P(A)

If two events A and B are independent, P(A|B) = P(A) and P(B|A)= P(B).

So the law of multiplication of probability for two events A and B is written as follows:

P(A ∩ B) = P(A) ∙ P(B)

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State the law of multiplication of probability for two events A and B. Write the law of multiplication of probability if these two events are independent.

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