7 Carl bets one dollar to play a game of 3 dice. If he rolls ”6” on one, two or three dice, then he takes the dollar back and win as many dollars as the number of dice which rolled ”6” (meaning 3 dollars max). If no die rolls a ”6”, Carl loses his bet. How much money is Carl expected to win if he continues playing this game numerous times? How much does Carl need to bet so in the long run he loses nothing and gains nothing

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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7 Carl bets one dollar to play a game of 3 dice. If he rolls ”6” on one, two or three dice, then he takes the dollar back and win as many dollars as the number of dice which rolled ”6” (meaning 3 dollars max). If no die rolls a ”6”, Carl loses his bet. How much money is Carl expected to win if he continues playing this game numerous times? How much does Carl need to bet so in the long run he loses nothing and gains nothing
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