Probability of a Win in Rock-Paper-Scissors
This calculates the probability of how many rounds it will take to decide the winner when multiple people play Rock-Paper-Scissors.
For three or more players, “the game is decided” includes cases where multiple players win.
The calculation ends when the probability that the game is decided reaches 99% or higher.
If the number of rounds of rock-paper-scissors exceeds 20, the step size is multiplied by 10; if it exceeds 200, the step size is multiplied by 10 again to speed up the calculation.
Calculation formula (r is the number of rounds of rock-paper-scissors)
The calculation ends when the probability that the game is decided reaches 99% or higher.
If the number of rounds of rock-paper-scissors exceeds 20, the step size is multiplied by 10; if it exceeds 200, the step size is multiplied by 10 again to speed up the calculation.
Calculation formula (r is the number of rounds of rock-paper-scissors)
| \(\normalsize \\ \hspace{20px} P=1-\left({\large\frac{3^{n-1}-2^n+2}{3^{n-1}}}\right)^r\) |
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