Question

Write a program using C++ to simulate a pair of dice. Run your simulation 1000 times and record the data for the following events:

A: Sum of the outcome is even

B: Sum of the two dice is at least 10

C: The first die comes up 5

ii. Compute the probability of each event using your program.

Answer 1

#include<iostream>

#include<cstdlib>

using namespace std;

int main()

{

    // Sum of the outcome is even

    int even_sum = 0;

   

    // Sum of the two dice is at least 10

    int sum_atleast_10 = 0;

   

    // The first die comes up 5

    int first_die_5 = 0;

   

    int i;

   

    for( i = 1 ; i <= 1000 ; i++ )

    {

        // generate random number in range

        int x = rand() %6 + 1;

       

        // generate random number in range

        int y = rand() %6 + 1;

       

        // Sum of the outcome is even

        if( ( x + y ) % 2 == 0 )

            even_sum++;

           

        // Sum of the two dice is at least 10

        if( ( x + y ) >= 10 )

            sum_atleast_10++;

           

        // The first die comes up 5

        if( x == 5 )

            first_die_5++;

    }

   

    cout<<"Sum of outcome is even : "<<even_sum<<endl;

    cout<<"Sum of outcome is atleast 10 : "<<sum_atleast_10<<endl;

    cout<<"First outcome is 5 : "<<first_die_5<<endl;

   

    cout<<endl;

   

    cout<<"Probability( Sum of outcome is even ) : "<<(double)even_sum / 1000.0<<endl;

    cout<<"Probability( Sum of outcome is atleast 10 ) : "<<(double)sum_atleast_10 / 1000.0<<endl;

    cout<<"Probability( First outcome is 5 ) : "<<(double)first_die_5 / 1000.0<<endl;

   

    return 0;

}

Sample Output