600 identical balls are distributed randomly in 6 numbered boxes (all balls are to be distributed and boxes can be empty). What is the probability that exactly 300 balls will end up in the first 3 boxes?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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The answers can contain factorials, binomial numbers, Sterling numbers and +-*/
1)
600 identical balls are distributed randomly in 6 numbered boxes (all balls are to be
distributed and boxes can be empty). What is the probability that exactly 300 balls will
end up in the first 3 boxes?
Transcribed Image Text:Answers have to be complete and motivated. The answers can contain factorials, binomial numbers, Sterling numbers and +-*/ 1) 600 identical balls are distributed randomly in 6 numbered boxes (all balls are to be distributed and boxes can be empty). What is the probability that exactly 300 balls will end up in the first 3 boxes?
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