186. Bowl I contains eight red balls and six blue balls. Bowl II is empty. Four balls are
selected at random, without replacement, and transferred from bowl I to bowl II. One
ball is then selected at random from bowl II.
Calculate the conditional probability that two red balls and two blue balls were
transferred from bowl I to bowl II, given that the ball selected from bowl II is blue.
(A) 0.21
(B) 0.24
(C) 0.43
(D) 0.49
(E) 0.57