Box A contains 6 red and 3 yellow balls while box B contains 4 red and 3 yellow balls. A box is chosen at random and a ball is selected from it. The probability of choosing box A is 45%. Find the the probability that the ball came from box A if the ball was red.
A. 0.6111
B. 0.3889
C. 0.4884
D. 0.5116
