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Hey so I discovered this formula for finding out the most probabble result when rolling a certain number of f-sided dice. Could you check it and tell me why it is so?

P=[n(f+1)]/2

where

P= Most probable sum of dice rolls

n=number of dice

f=number of faces each die has

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  • $\begingroup$ looks good. Though $n$ can be equal to $1$ or $0$ if you wish. $\endgroup$ – MCT Mar 9 '16 at 5:12
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    $\begingroup$ This fails when $n$ is odd and $f$ is even as the formula does not produce an integer. $\endgroup$ – Ross Millikan Mar 9 '16 at 5:20
  • $\begingroup$ This works as it will produce for eg. 19.5 then the two numbers would be 19 and 20. $\endgroup$ – aahanscool Mar 9 '16 at 5:22
  • $\begingroup$ That may be the case, but $19.5$ does not equal $\{19,20\}$ so the definition is not really correct. $\endgroup$ – D.A.N. Mar 9 '16 at 5:26
  • $\begingroup$ This formula is for the expected sum but not for the mode sum. $\endgroup$ – Masacroso Mar 9 '16 at 5:56

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