A, B এবং C তিনটি পারস্পরিক একচেটিয়া এবং সম্পূর্ণ ঘটনা। P(A) = 2P(B) = 6P(C)। P(B) নির্ণয় করুন।

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 0.1
  2. 0.3
  3. 0.6
  4. 0.4

Answer (Detailed Solution Below)

Option 2 : 0.3
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Detailed Solution

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প্রদত্ত 

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

ধারণা

ঘটনা যখন পারস্পরিক একচেটিয়া এবং সম্পূর্ণ হয়

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

গণনা 

ধরা যাক, P(A) হল k 

⇒ P(B) = k/2

⇒ P(C) = k/6

তাই ধারণা অনুযায়ী

⇒ k + k/2 + k/6 = 1

⇒ 10k/6 = 1

⇒ k = 3/5

∴ P(B) হল k/2 = 3/(5 × 2) = 0.3
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