The probability that atleast one of the events A and B occurs is 0.6 If A and B occur simulataneously with probability 0.2, then `Poverset(-)((A))+Pov

Question

The probability that atleast one of the events A and B occurs is 0.6 If A and B occur simulataneously with probability 0.2, then P - (A) +P - (B) is equal to A. 0.4 B. 0.8 C. 1.2 D. 1.6 Select the correct answer from above options

Answer 1

Correct Answer - C (c) Given, P ( A ∪ B ) = 0.6 and P ( A ∩ B ) = 0.2 Given, ∴ P ( A ∪ B ) = P ( A ) + P ( B ) − P ( A ∩ B ) ∴ ⇒ 0.6 = P ( A ) + P ( B ) − 0.2 ⇒ ⇒ P ( A ) + P ( B ) = 0.8 ⇒ ∴ P − ( A ) + P − ( B ) = 1 − P ( A ) + 1 − P ( B ) ∴ = 2 − [ P ( A ) + P ( B ) ] = = 2 − 0.8 = 1.2 =