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 given A)
(b) P(B^c given D)
(c) P(D given C^c)

Question

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 given A)
     (b) P(B^c given D)
     (c) P(D given C^c)

goformit100 · Answer

First of all @vcsbb : A Warm Welcome to 'Open Study'. Please Read CoC (compulsory to read by all "Open Study" users) : http://openstudy.com/code-of-conduct