Question
Download Solution PDFएक ठेकेदार को प्लंबिंग का ठेका मिलने की प्रायिकता 2 / 3 है और उसे बिजली का ठेका नहीं मिलने की प्रायिकता 5 / 9 है। यदि कम से कम एक ठेका मिलने की प्रायिकता 4 / 5 है, तो उसे दोनों ठेके मिलने की प्रायिकता है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
प्लंबिंग का ठेका मिलने की प्रायिकता = P(A) = 2/3
बिजली का ठेका नहीं मिलने की प्रायिकता P(B̅) = 5/9
कम से कम एक ठेका मिलने की प्रायिकता P(A U B) = 4/5
गणना
बिजली का ठेका मिलने की प्रायिकता = 1 - P(B̅)
⇒ = 1- 5/9 = 4/9
दोनों ठेके मिलने की प्रायिकता P(A ∩ B) = P(A) + P(B) - P(A U B)
⇒ P(A ∩ B) = 2/3 + 4/9 - 4/5
⇒ (90 + 60 - 108)/135
∴ उसे दोनों ठेके P(A ∩ B) मिलने की प्रायिकता 14/45 है।
Last updated on Jun 13, 2025
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