Given that the events A and B are such t

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

Given that the events A and B are such that P(A) = 1/2, P(A∪B) = 3/5 and P(B) = p then find 'p' if they are mutually exclusive.

Options:

1/10

1/5

1/20

1/25

Correct Answer:

1/10

Explanation:

It is given that P(A) = 1/2, P(A∪B) = 3/5 and P(B) = p

When A and B are mutually exclusive, A∩B = ø

so, P(A∩B) = 0

It is known that, P(A∪B) = P(A) +P(B) - P(A∩B)

⇒ 3/5 = 1/2 +p - 0

⇒ p = 1/10

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