If A and B are two mutually exclusive events, then P(A ∪ B) = ? 

  1. P(A) - P(B)
  2. P(A) + P(B)
  3. P(A ∩ B)
  4. 0

Answer (Detailed Solution Below)

Option 2 : P(A) + P(B)
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Detailed Solution

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Concept:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

For mutually exclusive events A and B, P(A ∩ B) = 0

 

Calculation:

We know, for mutually exclusive events A and B,  P(A ∩ B) = 0

∴ P(A ∪ B) = P(A) + P(B) - 0

=  P(A) + P(B)

Hence, option (2) is correct.

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