यदि P(A) = 2/3 और P(B) = 5/8 है, तो केवल B के घटित होने की प्रायिकता ज्ञात कीजिए यदि केवल A के होने की प्रायिकता 1/6 है?

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 1/8
  2. 1/9
  3. 1/6
  4. 2/9

Answer (Detailed Solution Below)

Option 1 : 1/8
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दिया गया है

P(A) = 2/3

P(B) = 5/8

P(केवल A के घटित होने की प्रायिकता) = 1/6

गणना

F1 Vishal Sirohi 28.5.21 Pallavi D2

P(A ∩ B) = P(A) – P(केवल A के घटित होने की)

⇒ 2/3 – 1/6

P(A ∩ B) = ½

केवल B के घटित होने की प्रायिकता = P(B) - P(A ∩ B)

⇒ 5/8 – 1/2

∴ केवल B के घटित होने की प्रायिकता 1/8 है। 
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