public class Dice2 {

  public static void main (String[] argv)
  {
    try {
      if ( (argv == null) || (argv.length != 2) ) {
        System.out.println ("Usage: Dice2 <sum> <numSamples>");
        System.exit(1);
      }
      
      // Extract desired sum and number of samples for estimate.
      int sum = Integer.parseInt (argv[0]);
      int numSamples = Integer.parseInt (argv[1]);
      
      // Estimate.
      double avg = estimate (sum, numSamples);
      
      // Output.
      System.out.println ("Theoretical probability: " + (1.0/6.0));
      System.out.println ("Estimated Probability: " + avg);
    }
    catch (Exception e) {
      e.printStackTrace();
    }
  }
  
  public static double estimate (int sum, int numSamples)
  {
    // We will count the number of times our event of interest occurs.
    int count = 0;
    
    // Repeat experiment "numSamples" times.
    for (int i=0; i<numSamples; i++) {
      
      // Roll the dice.
      int m = (int) UniformRandom.uniform (1, 6);
      int n = (int) UniformRandom.uniform (1, 6);
      
      // See if the event of interest occurs.
      if (m+n == sum)
        count ++;
      
    }
    
    // Compute the fraction of time the event occurred.
    double avg = (double) count / numSamples;

    return avg;
  }
  

}