In the first box, there are 4 white and 7 black balls. In the second box, there are 3 white and 6 black balls. A ball is randomly chosen from the first box and transferred to the second box, and then a ball is randomly chosen from the second box and returned to the first box. (a) Find the probability that, after all this, we draw a white ball from the first box. (b) If a black ball is drawn from the first box after the transfers, what is the most likely composition of the first box
In the first box, there are 4 white and 7 black balls. In the second box, there are 3 white and 6 black balls. A ball is randomly chosen from the first box and transferred to the second box, and then a ball is randomly chosen from the second box and returned to the first box. (a) Find the probability that, after all this, we draw a white ball from the first box. (b) If a black ball is drawn from the first box after the transfers, what is the most likely composition of the first box
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 83CR
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In the first box, there are 4 white and 7 black balls. In the second box, there are 3 white and 6 black balls. A ball is randomly chosen from the first box and transferred to the second box, and then a ball is randomly chosen from the second box and returned to the first box.
(a) Find the probability that, after all this, we draw a white ball from the first box.
(b) If a black ball is drawn from the first box after the transfers, what is the most likely composition of the first box
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