Let xn denote the proportion of items at time n that are

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At time 0 a box contains one pen and one pencil. At each time n after, a item is chosen at random from the box and put back in together with one more item of the same type. (if a pen is drawn, then 2 pens go back into the box.) Let Xn denote the proportion of items at time n that are pens. We can prove that X_n is a Martingale, but show weather or not it converges.

Reference no: EM13614569

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