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  • If M and N are any two events, the probability that at least one of them occurs is A. P (M) + P (N) – 2 P (M ∩ N) B. P (M) + P (N) – P (M ∩ N) C. P (M) + P (N) + P (M ∩ N) D. P (M) + P (N) + 2P (M ∩ N)

If M and N are any two events, the probability that at least one of them occurs is
A. P (M) + P (N) – 2 P (M ∩ N)
B. P (M) + P (N) – P (M ∩ N)
C. P (M) + P (N) + P (M ∩ N)
D. P (M) + P (N) + 2P (M ∩ N)

Answers (1)

M and N are two events      ……. (given)

Now, P (A U B) = P (A) + P (B) – P (A ∩ B)        ……. (by general addition rule)

Thus, P (M U N) = P (M) + P (N) – P (M ∩ N)

Thus, option B is the correct answer.
 

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