A bag contains a white and b black balls.Balls are chosen from the bag according

Question

A bag contains a white and b black balls.Balls are chosen from the bag according to the followingmethod:   1. A ball is chisen at random and isdiscarded 2. A second ball is then chose. If its color isdfferent from that of the preceding ball, it is replaced in the bagand the process is repeated from the beginning. If its color is thesame, it is discarded and we start from step2 In other words balls are sampled and discarded until achange in color occurs, at which point the last ball is returned tothe urn and process starts new. Let P a, b denote probability thatthe last ball in the bag is white. Prove that Pa, b= 0.5 A bag contains a white and b black balls.Balls are chosen from the bag according to the followingmethod:   1. A ball is chisen at random and isdiscarded 2. A second ball is then chose. If its color isdfferent from that of the preceding ball, it is replaced in the bagand the process is repeated from the beginning. If its color is thesame, it is discarded and we start from step2 In other words balls are sampled and discarded until achange in color occurs, at which point the last ball is returned tothe urn and process starts new. Let P a, b denote probability thatthe last ball in the bag is white. Prove that Pa, b= 0.5

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A bag contains a white and b black balls.Balls are chosen from the bag according

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