Answer Happy

3. Suppose that an ur contains 4 red balls, 5 blue balls, and 6 green balls. (a) (6 points) What is the probability that, when randomly drawing out three balls from the urn without replacement, you draw one ball of each color? (b) (4 points) What is the probability that, when randomly drawing out three balls from the urn without replacement, you draw three balls of the same color? (c) (4 points) Suppose you were randomly drawing balls from the urn one-by-one with- out replacement. What is the probability that you need to draw out at least four balls before you draw the first green ball? (d) (4 points) Repeat the previous problem, but now assume that you draw the balls WITH replacement.