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?
5/6
1
5
10/6