A, B and C are three mutually exclusive

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Probability

Question:

A, B and C are three mutually exclusive and exhaustive events. P(A) = 2P(B) = 6P(C). Find P(B).

Options:

0.3

0.5

0.75

0.7

Correct Answer:

0.3

Explanation:

P(A) = 2P(B) = 6P(C)

When event are mutually exclusive and exhaustive

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

Let P(A) be k

⇒ P(B) = k/2

⇒ P(C) = k/6

So according to the concept

⇒ k + k/2 + k/6 = 1

⇒ 10k/6 = 1

⇒ k = 3/5

∴ P(B) is k/2 = 3/(5 × 2) = 0.3