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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.8: The Multiplication Principle
Problem 18E
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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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