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9. Can work be shown 9. (8 points) Suppose that an urn contains 2 black balls, 1 red ball, and 4 green balls. Two balls

9. Can work be shown

9. (8 points) Suppose that an urn contains 2 black balls, 1 red ball, and 4 green balls. Two balls are chosen, without replacement, from the urn. That is, after the first ball is chosen and its color is recorded, it is not returned to the urn. Assume that all balls are equally likely to be chosen. (a) Construct a tree diagram to show all possible outcome. Label the probabilities of each stage of this tree. (b) What is the probability that exactly one black ball is drawn? SHOW YOUR WORK

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