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FairnessNVR-002RTP 99.00%

Dice

How a Dice result is derived, step by step. Every step is public and can be reproduced from the seeds.

01

Derivation

  1. 01

    roll = floor(float(0) × 10,000), giving an integer 0–9,999 displayed as 0.00–99.99.

  2. 02

    Under wins iff roll < chance × 100. Over wins iff roll ≥ 10,000 − chance × 100.

  3. 03

    multiplier = floor(990,000 / chance) / 10,000 with chance in percent. Expected return = chance × multiplier = 99%.

float(k) and the rest of the notation are defined in the byte stream.

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02

Rules that fix the payout

A roll is a number from 0.00 to 99.99, every value equally likely.

Choose a win chance from 2.00% to 98.00% and a side. Rolling under wins when roll < chance. Rolling over wins when roll ≥ 100 − chance.

The multiplier is 99 / chance. At 49.50% it pays 2.0000×; at 2.00% it pays 49.5000×.

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