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Question
If M and N are any two events, the probability that at least one of them occurs is ______.
Options
P(M) + P(N) – 2P(M ∩ N)
P(M) + P(N) – P(M ∩ N)
P(M) + P(N) + P(M ∩ N)
P(M) + P(N) + 2P(M ∩ N)
Solution
If M and N are any two events, the probability that at least one of them occurs is P(M) + P(N) – P(M ∩ N).
Explanation:
If M and N are any two events, then
P(M ∪ N) = P(M) + P(N) – P(M ∩ N)
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