3. A box has eight balls of each of the colors red, black, green, and white. A sample of 4 balls is drawn at random, without replacement. (a) Given that the sample has at least three red balls, what is the con- ditional probability that the sample has four red balls? (b) Given that the sample has balls of at least three different colors, what is the probability that the sample has balls of all four colors?

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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3. A box has eight balls of each of the colors red, black, green, and white.
A sample of 4 balls is drawn at random, without replacement.
(a) Given that the sample has at least three red balls, what is the con-
ditional probability that the sample has four red balls?
(b) Given that the sample has balls of at least three different colors,
what is the probability that the sample has balls of all four colors?
Transcribed Image Text:3. A box has eight balls of each of the colors red, black, green, and white. A sample of 4 balls is drawn at random, without replacement. (a) Given that the sample has at least three red balls, what is the con- ditional probability that the sample has four red balls? (b) Given that the sample has balls of at least three different colors, what is the probability that the sample has balls of all four colors?
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