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Three Plinko chips fall...
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Three Plinko chips fall in such a way that each chip is equallylikely to fall into any one of five slots. All chips may fall intothe same slot or two may fall into the same slot or all three mayfall into different slots. Let ? denote the number of unoccupiedslots at the end of the game. What is the moment generatingfunction of ??
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The number of occupied slots can be either or Subtracting each of these numbers from slots we have caneither be or Therefore
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