CPM Homework Help : PC3 Problem 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?

Hint:

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

Step:

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