alleryWhich property of conditional probability is correct?
A$P(A'/B)=P(A/B)$
B$P(A'/B)=1-P(A/B)$
C$P(A'/B)=1-P(B/A)$
D$P(A'/B)=P(A\cap B)$
Answer & Solution
Correct answer: B. $P(A'/B)=1-P(A/B)$
Within the reduced sample space where $B$ has occurred, the events $A$ and $A'$ are complementary.
**Therefore their conditional probabilities add to 1, so $P(A'/B)=1-P(A/B)$.**
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