6 Monty Hall with friends (poYou and 9 of your friends go on separate runs of the Monty all game show; you all know probability-so each of you, independently, has a chance of winning a car (and a chance of a goat).Find the expected number of your friends that get the same prize as you.

Let X be the number of friends that get the same prize as you. Then, X can take values from 0 to 9,…

Answered: You and 9 of your friends go on…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 75RE

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Similar questions

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Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.

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