Problem

One ball at a time is randomly selected from an urn containing a white and b black balls u...

One ball at a time is randomly selected from an urn containing a white and b black balls until all of the remaining balls are of the same color. Let Ma,b denote the expected number of balls left in the urn when the experiment ends. Compute a recursive formula for Ma,b and solve when a = 3 and b = 5.

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