Question

A bag contains blue and yellow marbles. Two marbles are drawn without replacement. The probability of selecting a blue marble and then a yellow marble is 0.37, and the probability of selecting a blue marble on the first draw is 0.55.

What is the probability of selecting a yellow marble on the second draw, if the first marble drawn was blue?
A)
18%
B)
20%
C)
46%
D)
67%

Answer 1

D) 67%

Answer 2

P(B)*P(Y|B)=.37 P(B)=.55

Answer 3

solve for P(Y|B)

Answer 4

Let B=Blue
Let Y=Yellow

(B)(Y)=0.37
B=0.55
(0.55)(Y)=0.37
Y=0.37/0.55
Y=0.67=67%

Therefore, the answer is D which is 67%