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Dice (singular: die) are typically small cubical objects marked with spots, numbers (1-6 usually) or symbols to generate random outcomes, particularly in games. Other polyhedral dice are also used in games.
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Have I found something new? (a formula for the odds of rolling at least one 1 when rolling a...
The formula
First, the formula I found for the odds of rolling at least one 1 when rolling an n-sided die n times:
Math.round(1 - ( ((n-1)/n)^n -1 )*(n^n-1) )/n^n
AKA:
Note: As n grows, the Math.rou …
1
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Have I found something new? (a formula for the odds of rolling at least one 1 when rolling a...
I didn't need to attempt to work out the integral version of the summation I'd found that represented the number of times at least one 1 would appear when rolling an n-sided die n times.
Instead, ther …