(a) What is the probability that the sample consists of balls of three different colours? (b) What is the probability that the sample consists of at least one blue ball? (c) Suppose you knew that your sample contained two red balls, what is the proba- bility that the third ball is green?

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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Three blue balls, three green balls and two red balls are in a jar. Suppose you reach
into the jar and sample three balls (without replacement).
(a) What is the probability that the sample consists of balls of three different colours?
(b) What is the probability that the sample consists of at least one blue ball?
(c) Suppose you knew that your sample contained two red balls, what is the proba-
bility that the third ball is green?
Transcribed Image Text:Three blue balls, three green balls and two red balls are in a jar. Suppose you reach into the jar and sample three balls (without replacement). (a) What is the probability that the sample consists of balls of three different colours? (b) What is the probability that the sample consists of at least one blue ball? (c) Suppose you knew that your sample contained two red balls, what is the proba- bility that the third ball is green?
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