Mines

Probability

The probabilities for a player to win a Mines game with a specific pre-chosen amount of mines and selected tiles (revealed slots) are calculated and shown in the table below:

Multiplier

With the probabilities the multiplier is set such that the expected return is 0.99 with the following formula:

$$m = \frac{0.99}{p(x,M)}.$$

The multipliers can be found in the table below:

Note: The multipliers of the Mines game can't be found in the code, because the multipliers have to be set when the contract gets deployed. Invoke the function Mines_GetMultipliers on the deployed contract to verify the multipliers.

House Edge

The house edge is incorporated in the multiplier. With the multipliers and expected return set at 0.99, the house edge is 1%.

Odds

The average multiplier is determined leading to the following odds:

Odds	Outcome
Decimal odds	0.99
Return to Player	99%
Probability odds	49.5%