b) A box contains 8 red, 5 white and 3 blue marbles. A sample of nine marbles is drawn with replacement, i.e. each marble is replaced before the next one is drawn. Find the probability that: i. 4 are red, 3 are white and 2 are blue. (3 Marks) ii. 3 are red, 5 are white and 1 is blue. (3 Marks) iii. 3 of each color appear. (3 Marks)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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b) A box contains 8 red, 5 white and 3 blue marbles. A sample of nine
marbles is drawn with replacement, i.e. each marble is replaced
before the next one is drawn. Find the probability that:
i. 4 are red, 3 are white and 2 are blue.
(3 Marks)
ii. 3 are red, 5 are white and 1 is blue.
(3 Marks)
iii. 3 of each color appear.
(3 Marks)
Transcribed Image Text:b) A box contains 8 red, 5 white and 3 blue marbles. A sample of nine marbles is drawn with replacement, i.e. each marble is replaced before the next one is drawn. Find the probability that: i. 4 are red, 3 are white and 2 are blue. (3 Marks) ii. 3 are red, 5 are white and 1 is blue. (3 Marks) iii. 3 of each color appear. (3 Marks)
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