Comment on page
Range

Win if the number is in your chosen range.
Range is a game where players bet on the outcome of a randomly generated decimal number between 0 and 100. Players bet on whether the generated number will fall within that range or outside of it. Range offers players the flexibility of adjusting their odds of winning.
First move is to select a decimal, say N, from the range [5, 95]. You can either bet that the output will fall in the range [0, N] (roll under) or [N, 100] (roll over). Note that the output is always a decimal between 0 and 100.
The probability of winning, P,  is given by
P={N100if rolling under N100−N100if rolling over N.P = 
     \begin{cases}
       \frac{N}{100} &\quad\text{if rolling under }N\\
       \frac{100-N}{100} &\quad\text{if rolling over }N \\
     \end{cases}.P={100N​100100−N​​if rolling under Nif rolling over N​.
The house edge is 2% in Range. So the payout multipliers in case of winning are given by
Payout Multiplier={98Nif rolling under N98100−Nif rolling over N.\text{Payout Multiplier} = 
     \begin{cases}
       \frac{98}{N} &\quad\text{if rolling under }N\\
       \frac{98}{100-N} &\quad\text{if rolling over }N \\
     \end{cases}.Payout Multiplier={N98​100−N98​​if rolling under Nif rolling over N​.
For example, if the player selects the range [0, 50], the payout multiplier will be x1.96.
In Range, players have complete control over the odds, allowing to adjust the risk they're taking.
Horse Race
Moon
Last modified 4mo ago