Question: 4. (8 points) Consider a different experiment: EXPERIMENT: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3 yellow balls.

4. (8 points) Consider a different experiment: EXPERIMENT: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3 yellow balls. One ball is drawn at random and then returned to the bag. Then a ball is drawn again, possibly the same one or a different one. (a) (2 points) Specify the sample space (set of outcomes) and probability distribution of the outcomes. (b) (3 points) What is the probability that both balls drawn were red balls? (c) (3 points) Starting over with all 14 balls back in the bag, what is the probability that both draws were balls of different colors?

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