A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events: A: { One of the balls is yellow } B:{ At least one ball is red} C:{ Both balls are green } D: {Both balls are of the same color } Find the following conditional probabilities: (a) P(A |B) = 4/5 %3D (b) P(B|D) = 1/4 (c) P(D|C°) = 1/12

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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A box contains one yellow, two red, and three green balls. Two balls are
randomly chosen without replacement. Define the following events:
A: { One of the balls is yellow }
B: { At least one ball is red}
C:{ Both balls are green }
D: {Both balls are of the same color }
Find the following conditional probabilities:
(a) P(A|B) =
4/5
(b) P(B|D) = 1/4
(c) P(D|C°) = 1/12
Transcribed Image Text:A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events: A: { One of the balls is yellow } B: { At least one ball is red} C:{ Both balls are green } D: {Both balls are of the same color } Find the following conditional probabilities: (a) P(A|B) = 4/5 (b) P(B|D) = 1/4 (c) P(D|C°) = 1/12
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