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 23 chance of winning a car (and a 13 chance of a goat).Find the expected number of your friends that get the same prize as you (whichever prize thatturns out to be).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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