// CardExample.java
//
// Author: Rahul Simha
// Feb, 2008.
//
// Pr[2 card = 13]

public class CardExample {

    public static void main (String[] argv)
    {
	double numTrials = 100000;
	double numSuccesses = 0;

	for (int n=0; n<numTrials; n++) {
            // Note: we use a fresh pack each time because the cards aren't replaced.
	    CardDeck deck = new CardDeck ();
	    int c1 = deck.drawWithoutReplacement ();
	    int c2 = deck.drawWithoutReplacement ();
	    if (c2 == 13) {
		numSuccesses ++;
	    }
	}
	double prob = numSuccesses / numTrials;
	System.out.println ("Pr[c2=13]=" + prob + "  theory=" + (1.0/52.0));
    }

}