Geoffrey has two bags. Bag 1 has 6 red and 12 blue balls and Bag 2 has 12 red and 3 blue balls. He draws a ball at random from one of the bags (two bags have equal chance of being selected). Determine the probability that the ball was from the Bag 1 given that the ball drawn was red using Bayes theorem. (Round to 3 decimal places). 0 a. 0.306 X b. 0.294 C. 0.500 d. 0.545 e. 0.297