# Price a casino should charge for a game

I am given a table of possible $X_1$ and $X_2$ values that can be generated in a casino. In the game, both are generated with each turn.

The questions asks me to determine the minimum fee that should be charged per turn so that that casino doesn't lose money, if the payouts are:

$a) \ 8X_1$

$b) \ 4X_1 + 8(X_2)^2-\frac{51}{128}$

$c) \ 8X_1X_2$