A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. If 3P(B) = 4P(A) and 3P(C) = 2P(B), then what is P(A) equal to?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 7/29
  2. 8/29
  3. 9/29
  4. 10/29

Answer (Detailed Solution Below)

Option 3 : 9/29
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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Explanation:

A, B and C are mutually exclusive and exhaustive events:

⇒  P(A) + P(B) + P(C)= 1.....(i)

Also 

⇒ 3P(B) = 4P(A)

⇒ P(A) =

and 3P(C) = 2P(B) 

⇒ P(C) = 

From (i) 

⇒ 

⇒ 

⇒ 

⇒ P(A) =

∴ Option (c) is correct.

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