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brl7






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probability question
posted on: 9/25/2006 7:14:55 PM

There are two groups of buyers and a store with a single, indivisible good.
Group 1 consists of N buyers, and each buyer visits the store with probability
THETA. Group 2 consists of M buyers, and visits the store with probability
ALPHA. If only one person arrives at the store, he/she is awarded the good
with probability 1. If n >= 2 people arrive, the good is allocated to each
person with probability equal probability 1/n. Suppose a buyer that is in neither
group 1 nor group 2 is considering visiting the store.
I am looking for a simple form for the probability that he will be awarded
the good. (By simple I mean WITHOUT the use
of combinatorics)

 



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