(a) How many ways can 30 identical balls be placed in 12 boxes? number of ways = (as an integer) (b) What is the probability of the event E that after 30 identical balls are randomly placed in 12 boxes, exactly three of the boxes are empty? P(E) (as a fraction in lowest terms); (as a numerical approximation) 14

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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16. Balls and boxes!
(a) How many ways can 30 identical balls be placed in 12 boxes?
number of ways =
(as an integer)
(b) What is the probability of the event E that after 30 identical balls are randomly
placed in 12 boxes, exactly three of the boxes are empty?
P(E) =
(as a fraction in lowest terms);
(as a numerical approximation)
14
Transcribed Image Text:16. Balls and boxes! (a) How many ways can 30 identical balls be placed in 12 boxes? number of ways = (as an integer) (b) What is the probability of the event E that after 30 identical balls are randomly placed in 12 boxes, exactly three of the boxes are empty? P(E) = (as a fraction in lowest terms); (as a numerical approximation) 14
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