ProbabilityHard
Question
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simulta neously with probability 0.2, then P(
) + P(
) is
) + P() isOptions
A.0.4
B.0.8
C.1.2
D.1.4
Solution
Given, P(A ∪ B) = 0.6, (A ∩ B) = 0.2
∴ P() + P() = [1 - P(A)] + [1 + P(B)]
= 2 - [P(A) + P(B)]
= 2 - [P(A ∪ B) + P(A ∩ B)]
= 2 - [0.6 + 0.2] = 1.2
∴ P(
) + P() = [1 - P(A)] + [1 + P(B)]= 2 - [P(A) + P(B)]
= 2 - [P(A ∪ B) + P(A ∩ B)]
= 2 - [0.6 + 0.2] = 1.2
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