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Each of k jars contains m white and n black balls. A ball is randomly chosen...

Each of k jars contains m white and n black balls. A ball is randomly chosen from jar 1 and transferred to jar 2, then a ball is randomly chosen from jar 2 transferred to jar 3, etc. Finally, a ball is randomly chosen from jar k. Show that the probability that the last ball is white is the same as the probability that the first ball is white, i.e., it is m/(m+n) .

(Hint: Prove the result for K=2 and then use induction argument

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