Question

1T (startIndex< size) ( 22 23 someFunction(b, startIndex +1, size); printf("%d ", b[startIndex]); 24 25 26 (Dice Rolling) Write a program that simulates the rolling of two dice. The program should rand twice to roll the first die and second die, respectively. The sum of the two values should then be calculated. [Note: Because each die can show an integer value from 1 to 6, then the sum of the two values will vary from 2 to 12, with 7 being the most frequent sum and 2 and 12 the least frequent sums.] Figure 6.24 shows the 36 possible combinations of the two dice. Your program should roll the two dice 36,000 times. Use a one-dimensional array to tally the numbers of times each possible sum appears. Print the results in sonable; i.e., there are six ways to roll a 7, so approximately one-sixth of all the rolls should be 7 6.19 use tabular format. Also, determine if the totals are rea- a 6 4 5 2 3 1 7 5 6 4 2 3 1 8 6 7 5 4 7 6 4 3 10 8 7 6 5 4 10 11 6 7 12 10 11 6 Dice-rolling outcomes. Fig. 6.24 7 LO

Answer 1

#include<stdio.h>
#include<stdlib.h>
#include<time.h>

#define MAX 36000

int main()
{
   int i,sum;
   int dice1,dice2;
   int arr[11]={0};

   srand(time(0));

   for(i=0;i<MAX;i++)
   {
       dice1 = (rand()%6)+1;
       dice2 = (rand()%6)+1;

       sum = dice1+dice2;
       arr[sum-2]++;
       /*
       arr stores the occurence of sum from 2 to 12

       element at index 0 corresponds to occurence of sum 2
       element at index 1 corresponds to occurence of sum 3
       element at index 2 corresponds to occurence of sum 4
       and so on......

       */
   }

   printf("occurences : \n");

   for(i = 2;i<13;i++)
       printf("%5d\t",i);
   printf("\n");

  
   for(i= 0;i<11;i++)
       printf("%5d\t",arr[i]);

   printf("\n\nExpected occurence of sum 7 Is: %lf percent\n\n",(1.0/6.0)*100);

   printf("\nObserved Occurence of sum 7 Is : ");
   printf("%lf percent\n\n",((float)arr[5]/MAX)*100);

   return 0;
}

/*output

occurences :
2   3   4   5   6   7   8   9   10   11   12  
981   2038   2877   3962   5035   5932   5088   4018   3061   2000   1008  

Expected occurence of sum 7 Is: 16.666667 percent

Observed Occurence of sum 7 Is : 16.477777 percent

*/