Simple, yet tough urn problem
March 5th, 2012 at 3:31:13 AM
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You have k urns and M (M>k) balls.
Each ball is placed in a random urn (w/ uniform distrubution).
What is the probability that every urn has at least one ball in it after the M balls are placed?
Each ball is placed in a random urn (w/ uniform distrubution).
What is the probability that every urn has at least one ball in it after the M balls are placed?
March 5th, 2012 at 4:19:46 AM
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Is this a homework assignment?
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March 5th, 2012 at 7:11:10 AM
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Quote: jesperjuulYou have k urns and M (M>k) balls.
Each ball is placed in a random urn (w/ uniform distrubution).
What is the probability that every urn has at least one ball in it after the M balls are placed?
I would say that this problem is not an "urn problem," but instead "the coupon collector's problem" disguised as an urn problem. Am I right?
