na (a) the probability (b) the probability (c) the probability of obtaining five red balls of obtaining of obtaining at least two blue balls equal numbers of red and blue balls.

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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9 A bag contains 12 red and 8 blue balls that are identical except for their
colour.
A ball is chosen from the bag, its colour noted, and then it is replaced. Eight
balls are chosen.
(i) Find
(a) the probability of obtaining five red balls
(b) the probability of obtaining at least two blue balls
(c) the probability of obtaining equal numbers of red and blue balls.
(ii) How many balls need to be chosen if the probability of obtaining at least
one red ball is to be at least 99%?
Transcribed Image Text:9 A bag contains 12 red and 8 blue balls that are identical except for their colour. A ball is chosen from the bag, its colour noted, and then it is replaced. Eight balls are chosen. (i) Find (a) the probability of obtaining five red balls (b) the probability of obtaining at least two blue balls (c) the probability of obtaining equal numbers of red and blue balls. (ii) How many balls need to be chosen if the probability of obtaining at least one red ball is to be at least 99%?
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