Question
EXTRA CREDIT: 5 points A ball is randomly taken from Box #1 and then placed in...
EXTRA CREDIT: 5 points A ball is randomly taken from Box #1 and then placed in Box #2. A ball is randomly taken from Box #2 and placed in Box #3. Finally, a ball is randomly chosen from Box #3. Find the probability that the final ball drawn is white. Box #2 Box #3 Box #1
Answers
P[case 1] = 2/5 × 3/5 × 3/4 = 9/50
p[Case 2] = 2/5 × 2/5 × 2/4 = 4/50
P[Case 3]= 3/5 × 2/5 × 3/4 = 9/50
P[Case 4]= 3/5 × 3/5 × 2/4 = 9/50
So probability of white ball from 3rd box is
= 9/50 + 4/50 + 9/50 + 9/50
= 31/50
a. 1st we write down that may occure. the cases case 1 : Ball from boxt is white and Ball from box 2 is also white. Case 2: Ball from boxt is white and Ball from box 2 is Black . Case 3: Ball from boxt is Black and Ball from I box 2 is white. case 4: " Ball from box 1 is Black and Ball from box 2 is Black . The the ball from Box 3 is white , probability of this for each case is
P[case 1] = 2/5 × 3/5 × 3/4 = 9/50Similar Solved Questions
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