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susie098
susie098 susie098
  • 20-07-2016
  • Mathematics
Answered

According to the general equation for conditional probability, if P(AuB')=5/9 and P(B)=1/3, what is P(A|B')?

A1/6
B1/3
C5/6
D2/3

Verified Answer :

toporc
toporc toporc
  • 21-07-2016

\(P(B)=\frac{1}{3}\)
\(P(B')=1-\frac{1}{3}=\frac{2}{3}\)
\(P(A|B')=\frac{P(A\cap B')}{P(B')}=\frac{\frac{5}{9}}{\frac{2}{3}}=\frac{5}{6}\)
The correct answer choice is C.

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