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keisanHigh-precision calculations for everyday life and work

Probability of a Die Showing a Specific Number

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Roll a die n times and calculate the probability that a specific number appears m times, then present the results in a table.
Number of Trials n
1≦n≦500
Probability per roll p
(The dice are 1/6)
For a die whose probability of a specific face in 1 roll is p, the probability P of that face appearing m times in n rolls is:

\(\normalsize \\ \hspace{40px}P=binomialpd(m,n,p)\\ \hspace{55px}={}_nC_mp^m(1-p)^{n-m}\\\)

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