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(B|A) = 0.4 (b) P(B|D°) = 0.25 %3D c) P(C|A) = 3/4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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(B|A) = 0.4
(b) P(B|D°) = 0.25
(c) P(C|A) =
3/4
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(B|A) = 0.4 (b) P(B|D°) = 0.25 (c) P(C|A) = 3/4
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