Suppose n boxes each contain a white and b black balls. A ball is chosen at random from the first box and is placed in the second box. Then we draw a ball at random from box 2 and put it in the box 3. We continue this procedure for other boxes and finally draw a ball from n-th box. Find the probability that the last drawn ball from n-th box is white for n goes to infinite, If the first drawn ball from the first box was white?

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Suppose n boxes each contain a white and b black balls. A ball is chosen at random from the first box and is placed in the second box. Then we draw a ball at random from box 2 and put it in the box 3. We continue this procedure for other boxes and finally draw a ball from n-th box. Find the probability that the last drawn ball from n-th box is white for n goes to infinite, If the first drawn ball from the first box was white?

Probability
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