// DiceAndProbability.cpp : Defines the entry point for the console application.
//

#include "stdafx.h"
#include "math.h"

int roll_frequency[121];
int die[21];


int _tmain(int argc, _TCHAR* argv[])
{
	int number_of_dice;
	int roll, sum;

	printf("Enter the number of dice you wish to roll: ");
	number_of_dice = 0;

	scanf("%d", &number_of_dice);
	while((number_of_dice <= 0) && (number_of_dice > 20)){
		printf("\a\a\a Error: Number of dice must be within 1 through 20.  Try again: ");
	    scanf("%d", &number_of_dice);
	}

	for (die[1] = 1; die[1]<= 6; die[1]++)
	    for (die[2] = 1; die[2]<= 6; die[2]++)
	        for (die[3] = 1; die[3]<= 6; die[3]++)
	            for (die[4] = 1; die[4]<= 6; die[4]++)
	                for (die[5] = 1; die[5]<= 6; die[5]++)
					{
						sum = die[1] + die[2] + die[3] + die[4] + die[5];
						roll_frequency[sum]++;
                    }

    for(roll=1; roll<=30; roll++)
		printf("5 Dice: roll %3d occurs with frequency: %5d, probability %7.5f\n",roll,roll_frequency[roll], roll_frequency[roll]/(6*6*6*6*6.0));

	return 0;
}