You and 9 of your friends go on separate runs of the Monty Hall game show; you all know probability,so each of you, independently, has a 2/3 chance of winning a car (and a 1/3 chance of a goat).Find the expected number of your friends that get the same prize as you (whichever prize thatturns out to be).

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
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You and 9 of your friends go on separate runs of the Monty Hall game show; you all know probability,
so each of you, independently, has a 2/3 chance of winning a car (and a 1/3 chance of a goat).
Find the expected number of your friends that get the same prize as you (whichever prize that
turns out to be).

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