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5. Consider a bag of / white balls and M black balls. Now we draw a ball with replacement (i.e. the selected ball will be
5. Consider a bag of / white balls and M black balls. Now we draw a ball with replacement (i.e. the selected ball will be put back to the bag before the next draw) / times. Then, prove that the probability that there are an odd number of black balls chosen in these N draws is 2M N N + M
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