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^c) =  (b)  P(B|D) =  (c)  P(D|C)=

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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^c) = 
(b)  P(B|D) = 
(c)  P(D|C)=

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