Question
Download Solution PDFघटना A और B में से कम से कम एक के घटित होने की प्रायिकता 0.6 है। यदि A और B एक साथ प्रायिकता 0.2 के साथ होती हैं तो P(Ac) + P(Bc) का मान क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
कुछ उपयोगी सूत्र हैं:
किसी घटना के पूरक की प्रायिकता एक घटा घटना की प्रायिकता है।
हम लिख सकते हैं,P (A’) या P (Ac) या \(\rm P (A ̅)\) = 1 - P (A)
P(A ⋃ B) = P(A) + P(B) - P(A ⋂ B)
गणना:
P(A) = 1 - P(Ac)
P(B) = 1 - P(Bc)
P(A ⋃ B) = P(A) + P(B) - P(A ⋂ B)
∴ P(A) + P(B) = P(A ⋃ B) + P(A ⋂ B)
∴ [1 - P(Ac)] + [ 1 - P(Bc)] = 0.2 + 0.6
∴ 2 - [P(Ac) + P(Bc)] = 0.8
∴ P(Ac) + P(Bc) = 2 - 0.8
∴ P(Ac) + P(Bc) = 1.2
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