Probability Question

Question

Box #1 contains 4 red chips and 1 white chip. Box #2 contains 3 red, 1 black and 6 white chips. The

experiment consists of randomly picking a box, then randomly picking a chip from it. Find the

probability that

(a) A red chip is drawn from Box #1

(b) A red chip is drawn, given that Box #1 was picked

(c) Box #1 was picked, given that the chip is black

Answer 1

a) 5 total chips, 4 red ones. Probability of drawing red one is 4/5.

b) same answer as a)

c) there are no black chips in box #1, so probability of box # 1 being picked given the chip is black is zero