An experiment yields 3 mutually exclusive and exhaustive events A, B, and C.

If P(A) = 2P(B) = 3P(C), then P(A) is

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ISRO VSSC Technical Assistant 11 Feb 2024 Official Paper
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  1. 2/11
  2. 3/11
  3. 5/11
  4. 6/11

Answer (Detailed Solution Below)

Option 4 : 6/11
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Given, P(A) = 2P(B) = 3P(C)

⇒ P(C) = 2/3 P(B)

Since A, B, C are three mutually exclusive and exhaustive events

∴ P(A) + P(B) + P(C) = 1

⇒ P(B) = 3/11

From the given relation P(A) = 2 P(B) = 6/11

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