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#The first binomial 
def firstBinomialCoff(num_of_dice,k):
    return (math.factorial(num_of_dice)/(math.factorial((num_of_dice-k))*math.factorial(k)))

#The second binomial
def SecondBinomialCoff(num_of_dice,k,s,Total):
    return (math.factorial((Total-s*k-1))/(math.factorial((Total-s*k-num_of_dice))*math.factorial((num_of_dice-1))))

#The full expression of Prob
def ProbofEachNum(num_of_dice,s,Total):

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