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# 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
$P = \begin{cases} \frac{N}{100} &\quad\text{if rolling under }N\\ \frac{100-N}{100} &\quad\text{if rolling over }N \\ \end{cases}.$
• The house edge is 2% in Range. So the payout multipliers in case of winning are given by
$\text{Payout Multiplier} = \begin{cases} \frac{98}{N} &\quad\text{if rolling under }N\\ \frac{98}{100-N} &\quad\text{if rolling over }N \\ \end{cases}.$
• 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.