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The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events,

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Fill in the blanks: The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ________. Select the correct answer from above options

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Given P(happening of an event A) = 0.5 and P(happening of an event B) = 0.3 It is also given that A and B are mutually exclusive events ⇒ P(A ⋂ B) = 0 Now, we have to find the P(neither A nor B) = 1 – P(A ⋃ B) = 1 – [P(A) + P(B)] [Since, A and B are mutually exclusive] = 1 – (0.5 + 0.3) = 1 – 0.8 = 0.2

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