A और B दो घटनाएँ हैं। A और B क्रमशः उनकी पूरक घटनाएँ हैं, जैसे कि AB और AB दो परस्पर अपवर्जी और निश्शेष घटनाएँ हैं जिनमें घटना A हो सकती है। तो कौन सा विकल्प सही है?

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. P(A) = P(A̅B) + P(AB̅)
  2. P(A) = P(AB) + P(AB̅)
  3. P(A) = P(A̅) + P(AB̅)
  4. P(A) = 1

Answer (Detailed Solution Below)

Option 2 : P(A) = P(AB) + P(AB̅)
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व्याख्या

यदि A और B दो घटनाएँ हैं और A̅ और B̅ उनकी पूरक घटनाएँ हैं

AB̅ और AB दो परस्पर अपवर्जी और निश्शेष घटनाएँ हैं तब

∴ P(A) = P(AB) + P(AB̅)

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