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Suppose that a box contains r red balls and w white ball

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Suppose that a box contains r red balls and w white balls. Suppose also that balls are drawn from the box one at a time,

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Suppose that a box contains r red balls and w white balls. Suppose also that balls are drawn from the box one at a time, at random, without replacement. (a) What is the probability that all r red balls will be obtained before any white balls are obtained? (b) What is the probability that all r red balls will be obtained before two white balls are obtained?

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