QUESTION 10. A casino offers a game that it calls "five in a row". The rules of the game are simple: Pick a color, either red or black. Take a well-shuffled ordinary deck of 52 cards and pick 5 cards anywhere in the deck. If you pick 5 in a row of the color you chose, you win. Otherwise, you lose. You have to pay $10 for the chance to play this game, and you get $360 if you win. A standard deck has 26 red cards and 26 black cards. Calculate the expected value of playing this game in the casino. In other words, for each $10 that you spend in order to play this game, how much money should you expect to win back?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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QUESTION 10. A casino offers a game that it calls "five in a row". The rules of the game are simple: Pick
a color, either red or black. Take a well-shuffled ordinary deck of 52 cards and pick 5 cards anywhere in
the deck. If you pick 5 in a row of the color you chose, you win. Otherwise, you lose.
You have to pay $10 for the chance to play this game, and you get $360 if you win.
A standard deck has 26 red cards and 26 black cards.
60 971 to nois91 123W
Calculate the expected value of playing this game in the casino. In other words, for each $10 that you
spend in order to play this game, how much money should you expect to win back?
noiges
Transcribed Image Text:QUESTION 10. A casino offers a game that it calls "five in a row". The rules of the game are simple: Pick a color, either red or black. Take a well-shuffled ordinary deck of 52 cards and pick 5 cards anywhere in the deck. If you pick 5 in a row of the color you chose, you win. Otherwise, you lose. You have to pay $10 for the chance to play this game, and you get $360 if you win. A standard deck has 26 red cards and 26 black cards. 60 971 to nois91 123W Calculate the expected value of playing this game in the casino. In other words, for each $10 that you spend in order to play this game, how much money should you expect to win back? noiges
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What numbers do you plug in the formula to get $18.22?

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