Box 1 contains six red balls and four green balls. Box 2 contains seven red ball
ID: 3172680 • Letter: B
Question
Box 1 contains six red balls and four green balls. Box 2 contains seven red balls and three green balls. Box 3 contains eight red balls and two green balls. A ball is randomly selected from Box 1 and placed in box 2. Then a ball is again randomly selected from Box 2 and placed in box 3. Finally, a ball is again randomly selected from Box 3 and placed in box 1.
) What is the probability that red balls are selected from the three boxes?
b) What is the probability that red balls are selected from the 1st and 3rd box and green ball is selected from the 2nd box?
Explanation / Answer
Box 1 6 red and 4 green
Box 2 7 red and 3 green
Box 3 8 red and 2 green
a)probability that red balls are selected from the three boxes = (6/10)(8/11)(9/11) = 0.357
b)probability that red balls are selected from the 1st and 3rd box and green ball is selected from the 2nd box =
(6/10)(3/11)(8/11) = 0.119
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