Question

The probability that at least one of a and b occurs is 0.7. If a and b occur simultaneously with probability 0.2, then is

Answer 1

Hey Dear,

◆ Answer -

P(A') + P(B') = 1.1

● Explanation -

Probability of complement of event is calculated as -

P(X') = 1 - P(X)

Now to calculate,

P(A') + P(B') = 1 - P(A) + 1 - P(B)

P(A') + P(B') = 2 - [P(A) + P(B)]

P(A') + P(B') = 2 - [P(A∪B) + P(A∩B)]

P(A') + P(B') = 2 - (0.7 + 0.2)

P(A') + P(B') = 2 - 0.9

P(A') + P(B') = 1.1

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