According to the general equation for conditional probability if P(A^B)=4/5 and P(B)= 5/6 what is P(A|B) ? A.) 35/36 B.) 8/9 C.) 24/25 D.) 15/16

Question

asked Apr 27, 2019 11.3k views

2 Answers

Vladimir Georgiev · Answer 1 · 2019-05-04T12:44:10+0000

Answer:

Correct choice is C

Explanation:

According to the general equation for conditional probability

$Pr(A|B)=(Pr(A\cap B))/(Pr(B)),$

you can find the probability
Pr(A|B).

If
$Pr(A\cap B)=(4)/(5)$ and
Pr(B)=(5)/(6), then

$Pr(A|B)=((4)/(5))/((5)/(6))=(4)/(5)\cdot (6)/(5)=(24)/(25).$