Question
Download Solution PDFA, B and C are three mutually exclusive and exhaustive events. P(A) = 2P(B) = 6P(C). Find P(B).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
P(A) = 2P(B) = 6P(C)
Concept
When event are mutually exclusive and exhaustive
P(A) + P(B) + P(C) = 1
Calculation
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) = 0.3Last updated on Jun 13, 2025
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