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1

I suspect that it depends on how you count failures. Is "5 dice, 4 successes, 1 failure" better/worse/equal than/to "6 dice, 4 successes, 2 failures"? If both the number of successes and failures count, it is a tricky question to answer (easy-ish to simulate, though). If the number of failures do not count, I would agree with Dave Sherohman that extra dice ...


3

Given that you have a background in statistics, and as an R user myself, I recommend the R statistical programming language. It's completely free, reliable and has a comprehensive library of statistical analysis functions. There is a bit of a learning curve with R, but StackExchange is the right place to be if you have programming questions! :) Check out ...


5

The mean result of 2d10 is 11. A reasonable approximation for number of levels between increments is therefore 9 (because 99 is closest, and you cannot have fractional levels). The probability of having an increment by level 9 is slightly less than 50%. The probability of having the increment by level 10 is somewhat greater than 50%. My calculations and ...



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