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CTK Exchange
Zloty Lojak
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Apr-12-08, 07:55 AM (EST) |
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"Probability Problem"
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I have a tough question I cant get the answer for: I have L hats and N balls (N<L) each hat can contain 0,1 or 2 balls, not more than 2. all N balls are spread among the L hats (randomly). what is the probability of a certein hat to have 1 ball and what is the probability of a certain hat to have 2 balls? |
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Mark Huber
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Apr-14-08, 11:00 AM (EST) |
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1. "RE: Probability Problem"
In response to message #0
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>I have a tough question I cant get the answer for: >I have L hats and N balls (N<L) each hat can contain 0,1 or >2 balls, not more than 2. all N balls are spread among the L >hats (randomly). what is the probability of a certein hat to >have 1 ball and what is the probability of a certain hat to >have 2 balls? There's lots of different ways to "randomly" spread the balls among the hats. For instance, you could take the balls one at a time, pick a hat with equal probability among the hats that have fewer than 2 balls in them, and drop the ball in that hat. Another method would be to choose uniformly (so with equal probability) among all assignments of x_1,...,x_L, where x_i is either 0, 1 or 2, so that x_1 + x_2 + ... + x_L = N. And there are many other methods. Could you give more details about the method in your question? Mark |
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