If A and B be mutually exclusive events associated with a random experiment such that P (A) = 0.4 and P (B) = 0.5, then find:(i) P (A′ ∩ B)(ii) P (A ∩ B′)

Home » If A and B be mutually exclusive events associated with a random experiment such that P (A) = 0.4 and P (B) = 0.5, then find:(i) P (A′ ∩ B)(ii) P (A ∩ B′)

If A and B be mutually exclusive events associated with a random experiment such that P (A) = 0.4 and P (B) = 0.5, then find:
(i) P (A′ ∩ B)
(ii) P (A ∩ B′)

If A and B be mutually exclusive events associated with a random experiment such that P (A) = 0.4 and P (B) = 0.5, then find:
(i) P (A′ ∩ B)
(ii) P (A ∩ B′)

A and B are two mutually exclusive events is given to us.

P (A) = 0.4 and P (B) = 0.5

By definition of mutually exclusive events we can write,

P (A ∪ B) = P (A) + P (B)

(i) P (A′ ∩ B)

P (only B) = P (B) – P (A ∩ B)

As A and B are mutually exclusive so they don’t have any common parts.

P (A ∩ B) = 0

∴ P (A′ ∩ B) = P (B) = 0.5

(ii) P (A ∩ B′)

P (only A) = P (A) – P (A ∩ B)

As A and B are mutually exclusive so they don’t have any common parts.