Question
Download Solution PDFFind P(A'/B'), given P(A) = 3/4, P(B) = 9/20 and P(A∩B) = 1/4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
P(A) = 3/4
P(B) = 9/20
P(A ∩ B) = 1/4
Calculation:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
= 3/4 + 9/20 – 1/4
= 19/20
P(A'/B') = P(A' ∩ B')/P(B')= 1 – P(A ∪ B)'/[1 – P(B)]
= [1 – 19/20]/[1 – 9/20]
=1/11
∴ Probability P(A'/B') is 1/11.
Last updated on Jun 25, 2025
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