Dice

"Dice" is a game where players bet on the outcome of a randomly generated decimal between 0 and 100. Players bet on whether the generated number will fall within or outside the chosen range. The range provides players with flexibility to adjust the probability of winning.

The output is always a decimal between 0 and 100.

The winning probability (P) is given as follows:

P = {N/100 (if rolling under N), 100-N/100 (if rolling over N}

The house edge is 2% within the range. Therefore, the payout multiplier for a win is as follows:

Payout Multiplier = {98/N (if rolling under N, 98/100-N (if rolling over N}

For example, if a player selects the range [0, 50], the payout multiplier will be x1.96.

As players can precisely control the probability on the Dice, they can adjust the risk they are willing to take.

Here are some examples of specific outcomes:

Player outcome	Chance	Multiplier
Win	95% (Highest)	1.0421x
Win	50%	1.98x
Win	49.5%	2x
Win	0.1% (Lowest)	990x
Loss	0.1% ~ 95%	0x

House Edge

The 1% house edge is taken when the win chance is being calculated, because 99000000000 is always being divided by the multiplier:

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uint256 winChance = 99000000000 / game.multiplier;

When we take the 2x multiplier as an example, 99000000000/20000=4950000 leads to a 49.5% win chance. This is a 1% house edge (50.5-49.5). On a win or loss the average return is always 0.99.