Question

If events A and B are mutually exclusive, such that P(A) = `1/5` and P(B) = 2/3, then the value of P(A∪B) is ______.

Options

• `11/15`

• `3/15`

• `14/15`

• `13/15`

Answer 1

If events A and B are mutually exclusive, such that P(A) = `1/5` and P(B) = 2/3, then the value of P(A∪B) is `underlinebb(13/15)`.

Explanation:

For mutually exclusive events P(A ∪ B) = P(A) + P(B). Therefore P(A ∪ B) = `1/5 + 2/3`

= `(3 + 10)/15`

= `13/15`.