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An urn contains n white balls and m black balls. ( m and n are both...

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Basic Math

An urn contains n white balls and m black balls. ( m and n areboth positive numbers.)

(a) If two balls are drawn without replacement , what is theprobability that both balls are the same color?

(b) If two balls are drawn with replacement (i.e., One ball isdrawn and it’s color recorded and then put back. Then the secondball is drawn.) What is the probability that both balls are thesame color.

(c) Show that the probability in part (b) is always larger thanthe one in part (a)

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