Let’s assume that it costs $5 every time you want to play.
There are 36 possible combinations with two dice.
Of the 36 combinations, there are 4 combinations that result in rolling a five (see blue). This means that there is a 4/36 or 1/9 chance of rolling a 5.
A 1/9 chance of winning means you’ll lose eight times and win once (theoretically).
Therefore, your expected payout is equal to $10.00 * 1 — $5.00 * 9= -$35.00.
