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

Let the probability of selecting a yellow marble on the second draw be x, then
0.55x = 0.37
x = 0.37/0.55 = 0.67 = 67%