Probability and Statistics – Consider a game of chance using 5 dice. (Recall that a die has 6-sides, with numbers ranging from 1 to 6.) In the game, each player takes turns rolling all five dice, ten times. The totals of the numbers shown on the five dice are added together for each of the ten rolls, resulting in each playing having 10 numbers. In this game, the winner isn’t determined by who has the highest single roll, or the highest total numbers rolled, but by the highest range in the numbers rolled. Question:  What is the value which would guarantee a win (or at least a tie for winner) in this game?

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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  1. Probability and Statistics – Consider a game of chance using 5 dice. (Recall that a die has 6-sides, with numbers ranging from 1 to 6.) In the game, each player takes turns rolling all five dice, ten times. The totals of the numbers shown on the five dice are added together for each of the ten rolls, resulting in each playing having 10 numbers. In this game, the winner isn’t determined by who has the highest single roll, or the highest total numbers rolled, but by the highest range in the numbers rolled.

Question:  What is the value which would guarantee a win (or at least a tie for winner) in this game?

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