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Consider the following statements: 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?

Consider the following statements: 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct? Correct Answer Both 1 and 2

Concept:

Mutually exclusive events: Two events are said to be mutually exclusive if they cannot happen at the same time.

 In another word we can say that mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0

⇒ A ∩ B = ϕ

So, we can say that the occurrence of one event prevents the occurrence of the other.

∴ Statement 1 is correct.

If A and B are mutually exclusive events then,

P (A∩B) = 0

∴ (A ∪ B) = P (A) + P (B)

∴ Statement 2 is also correct.

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