A game of “Doubles-Doubles” is played with two dice. Whenever a player rolls two dice and both die show the same number, the roll counts as a double. If a player rolls doubles, the player earns 5 points and gets another roll. If the player rolls doubles again, the player earns 5 more points. Whenever the player rolls the dice and does not roll a double, they lose points. How many points should the player lose for not rolling doubles in order to make this a fair game?   A) 5/6 B) 1 C) 5 D) 10/6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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A game of “Doubles-Doubles” is played with two dice. Whenever a player rolls two dice and both die show the same number, the roll counts as a double.

If a player rolls doubles, the player earns 5 points and gets another roll. If the player rolls doubles again, the player earns 5 more points. Whenever the player rolls the dice and does not roll a double, they lose points.

How many points should the player lose for not rolling doubles in order to make this a fair game?
 
A) 5/6
B) 1
C) 5
D) 10/6
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