### Home > PC3 > Chapter 12 > Lesson 12.3.2 > Problem12-144

12-144.

A game of chance is considered fair, or equitable, if each player’s expected value is zero. If a player gets $100$ every time they roll a $5$ or a $6$, how much should they have to pay when they roll a $1, 2, 3,$ or $4$ to make the game fair?

In a fair game, the expected value is $0$.

$\frac{2}{6}(100)+\frac{4}{6}(x)=0$