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probabilities of dice

Probabilities regarding a game in which two players roll six-sided dice and the player with the larger sum wins.

Columns:

The percentages are approximate.

P1P2P1 winsdrawP2 wins
1141.67%16.67%41.67%
129.26%6.94%83.80%
131.16%1.54%97.30%
140.08%0.19%99.73%
150.00%0.01%99.98%
160.00%0.00%100.00%
2244.37%11.27%44.37%
2315.20%6.94%77.85%
243.59%2.49%93.92%
250.61%0.60%98.79%
260.08%0.10%99.82%
3345.36%9.28%45.36%
3419.17%6.55%74.28%
356.07%2.99%90.93%
361.49%0.98%97.53%
4445.95%8.09%45.95%
4522.04%6.15%71.81%
468.34%3.26%88.40%
5546.37%7.27%46.37%
5624.24%5.79%69.96%
6646.67%6.65%46.67%

Python script used for calculating the probabilities