If A and B are two mutually exclusive events of a random experiment an

1.	If A and B are two mutually exclusive events of a random experiment and P(not A) = 0.45, P(A∪B) = 0.65, then find P(B).
Answer» A and B are two mutually exclusive events of a random experiment. P(not A) = 0.45, P(A) = 1 – P(not A) P(A∪B) = 0.65 = 1 – 0.45 = 0.55 P(A∪B) = P(A) + P(B) = 0.65 0.55 + P(B) = 0.65 P(B) = 0.65 – 0.55 = 0.10

If A and B are two mutually exclusive events of a random experiment and P(not A) = 0.45, P(A∪B) = 0.65, then find P(B).

Answer»

A and B are two mutually exclusive events of a random experiment.

P(not A) = 0.45,

P(A) = 1 – P(not A)

P(A∪B) = 0.65 = 1 – 0.45 = 0.55

P(A∪B) = P(A) + P(B) = 0.65

0.55 + P(B) = 0.65

P(B) = 0.65 – 0.55

= 0.10

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If A and B are two mutually exclusive events of a random experiment and P(not A) = 0.45, P(A∪B) = 0.65, then find P(B).

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