एक यादृच्छिक प्रयोग से जुड़ी A, B, C तीन परस्पर अपवर्जी और निष्कासी घटनाएँ हैं। यदि 3P(B) = 4P(A) और 3P(C) = 2P(B) है, तो P(A) किसके बराबर है?

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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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व्याख्या:

A, B और C परस्पर अपवर्जी और निष्कासी घटनाएँ हैं:

⇒ P(A) + P(B) + P(C)= 1.....(i)

इसके अलावा

⇒ 3P(B) = 4P(A)

⇒ P(A) =

और 3P(C) = 2P(B)

⇒ P(C) =

(i) से

P(B) =

P(A) =

∴ विकल्प (c) सही है।

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