Question :

Suppose you arc a board game maker, and you want to give players a higher probability of rolling larger numbers. Originally you had them roll three six-sided dice and add their results. The new approach will have the player roll four dice and add the totals of the three highest valued dice. Write a program that counts through every permutation of four six-sided dice and find the total of the three highest valued dice.

Calculate the permutations of rolling four six-sided dice

Plot a histogram of the totals

Calculate the mean and standard deviation of the totals

Plot a histogram of the values for the lowest valued, second-lowest, third- lowest, and highest value dice.