I consider risk in investing having a relationship with the payout. Considering them apart is not meaningful. After all the rolling of the dies and the all shouting is done the thing that counts is the payout.
If you are going to roll a die in amoney game you should relate the outcome of the roll(prure chance) with the earnings or loses for the rolls. You can then determine the payout and the chances of winning(orlosing) a certain amount.