1.Suppose there are two bowls of candy. Bowl #1 has 10 red M&Ms and 30 brown M&Ms, while bowl #2 has 20 of each color. You pick a bowl at random and pick a single piece of candy at random. If you pick a brown M&M, what is the probability that it came from bowl #1?

2.A bowl A contains 2 white and 3 red balls and another bowl B contains 3 white and 4 red balls. One bowl is chosen at random and a ball is drawn from it. If the ball drawn is red, what is the probability it was chosen from bowl A?

3. Bowl A contains 6 green and 4 black; Bowl B contains 6 black and 4 green; Bowl C contains 5 black and 5 green. A bowl is selected randomly and a ball is drawn from it. If the ball drawn is green, what is the probability that is drawn from bowl A?