Question
Download Solution PDFयदि A और B दो पारस्परिक रूप से अपवर्जित घटनाएँ हैं तो निम्नलिखित में से कौन सा सत्य है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
प्रायिकता ≤ 1
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
पारस्परिक रूप से अपवर्जित घटनाओं A और B के लिए P(A ∩ B) = 0
P(B̅) = 1 - P(B)
गणना:
हम जानते हैं कि पारस्परिक रूप से अपवर्जित घटनाओं A और B के लिए, P(A ∩ B) = 0
P(B̅) = 1 - P(B)
P(A ∪ B) ≤ 1
P(A) + P(B) ≤ 1
P(A) ≤ 1 - P(B)
P(A) ≤ P(B̅)
इसलिए, विकल्प (1) सही है।
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