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Probability with Permutations

 
 
Meggy1
 
Reply Mon 10 Apr, 2017 02:24 pm
Hello,
Assuming there are Q consecutive bags and each bag can contain at most 1 ball. Find the probability of finding N balls in the first M consecutive bags.
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markr
 
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Reply Mon 10 Apr, 2017 09:29 pm
@Meggy1,
Assuming N<=M<=Q, and P is the probability that any given bag contains a ball:
C(M,N) * P^N * (1-P)^(M-N)
where C(M,N) is the number of combinations of M things taken N at a time.
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