यदि A और B घटनाएं हैं जिससे और  है, तो P(B) किसके बराबर है?

  1. 1/3
  2. 2/3
  3. 1/8
  4. 2/9
  5. इनमें से कोई नहीं

Answer (Detailed Solution Below)

Option 2 : 2/3
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संकल्पना:

प्रयोग किया गया सूत्र:

  • P(A̅) = 1 - P(A)
  • P(A ∪ B) = P(A)+ P(B) - P(A ∩ B)

 

गणना:

दिया गया है: और P(A̅) 

निम्न को ज्ञात करने के लिए: P(B)

हम जानते हैं, P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(B) = P(A ∪ B) + P(A ∩ B) - P(A)

⇒ P(B) = P(A ∪ B) + P(A ∩ B) - (1 - P(A))

 

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