Question 822691
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Hi,
A fair die is to be rolled 12 times. p(rolling a five) = 1/6
<u>BINOMIAL Distribution</u> P(x) = nCx* {{{p^x*q^(n-x)}}} 
where p and q are the probabilities of success and failure respectively. 
In this case p = 1/6 & q = 5/6 & n = 12   nCx = {{{n!/(x!(n-x)!)}}}
For ex:   P(rolling 12 fives) ={{{(1/6)^12}}}
Recommend using Your TI calculator for cumulative probabilities.
and stattrek.com as an excellent reference. 
What is the probability of getting at most two fives? binomcdf(12, 1/6, 2)