State the law of addition of probability for two events A and B. Write the law of addition of probability if these two events are mutually exclusive.
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State the law of addition of probability for two events A and B. Write the law of addition of probability if these two events are mutually exclusive.
State the law of addition of probability for two events A and B. Write the law of addition of probability if these two events are mutually exclusive.
The law of addition of probability for two events A and B is as follows :
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
If A and B are mutually exclusive events, A ∩ B = 0 and P (A ∩ B) = 0. Hence, the law of addition of probability for two events A and B is written as follows:
P(A ∪ B) = P(A) + P(B)