SOLUTION: if p(B)= 4/5 and p(B and A)= 3/5, where A and B are dependent events, then p(A/B) equals: a.7/5 b. 3/4 c. 1/5 d. 12/25

Algebra ->  Probability-and-statistics -> SOLUTION: if p(B)= 4/5 and p(B and A)= 3/5, where A and B are dependent events, then p(A/B) equals: a.7/5 b. 3/4 c. 1/5 d. 12/25       Log On


   

Question 1178560: if p(B)= 4/5 and p(B and A)= 3/5, where A and B are dependent events, then p(A/B) equals:
a.7/5
b. 3/4
c. 1/5
d. 12/25

Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.


According to the DEFINITION of the conditional probability,


   P(A|B) = P%28A_and_B%29%2FP%28B%29 = %28%283%2F5%29%29%2F%28%284%2F5%29%29 = 3%2F4.    ANSWER

Solved, answered, explained and completed.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
p%28B%29=+4%2F5
p(B ∩ A)=+3%2F5


then
p%28A%2FB%29
P(A ∩ B) =P%28A%2FB%29*P%28B%29
p%28A%2FB%29=(P(A ∩ B)/P%28B%29
p%28A%2FB%29=%283%2F5%29%2F%284%2F5%29
p%28A%2FB%29=3%2F4

answer: b. 3%2F4