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Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment.

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Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment. If P(B) = 1.5 P(A) and P(C) = 0.5P(B), then P(A) is equal to

a. 3/4

b. 4/13

c. 2/3

d. 1/2

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1 Answer

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Best answer

Correct option b. 4/13

Explanation:

P(A) + P(B) + P(C) - 1

⇒ P(A) + 3/2P(A) + 1/2 x 3/2P(A) = 1

⇒ 13/4P(A) = 1 ⇒ P(A) = 4/13

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