# Question: Solve the Banach match problem Example 8e when the left hand

Solve the Banach match problem (Example 8e) when the left-hand matchbox originally contained N1 matches and the right-hand box contained N2 matches.

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In the Banach matchbox problem, find the probability that, at the moment when the first box is emptied (as opposed to being found empty), the other box contains exactly k matches. There are N distinct types of coupons, and each time one is obtained it will, independently of past choices, be of type i with probability Pi, i = 1, . . . ,N. Let T denote the number one need select to obtain at least one ...Let X be a Poisson random variable with parameter λ. What value of λ maximizes P{X = k}, k ≥ 0? For a hypergeometric random variable, determine P{X = k + 1}/P{X = k} Show how the derivation of the binomial probabilities leads to a proof of the binomial theorem when x and y are nonnegative. Let p = x / x + y.Post your question