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Two balls are chosen randomly from an urn containing 5 black and 5 white balls. Suppose...

Two balls are chosen randomly from an urn containing 5 black and 5 white balls. Suppose that we win $1 for each black ball selected and we lose $1 for each white ball selected. Denote our winnings by a random variable X.

(a) (4 points) Provide the probability distribution of X.

(b) (2 points) Using the result in (a), what is the probability that 0 ≤ X ≤ 2?

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