Question

If P(A) = `6/11`, P(B) = `5/11` and P(A ∪ B) = `7/11`, then what will be the value of P(A ∩ B)

Options

• `4/11`

• `4/5`

• `2/3`

• `11/6`

Answer 1

`4/11`

Explanation:

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

∴ P(A ∩ B) = P(A) – P(B) – P(A ∪ B)

= `6/11 + 5/11 - 7/11`

= `4/11`