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

A. 1/6
B. 1/3
C. 5/6
D. 2/3

Respuesta :

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