This program uses big numbers to compute the odds of winning the grand prize in a lottery.

   
/*
 This program is a part of the companion code for Core Java 8th ed.
 (http://horstmann.com/corejava)

 This program is free software: you can redistribute it and/or modify
 it under the terms of the GNU General Public License as published by
 the Free Software Foundation, either version 3 of the License, or
 (at your option) any later version.

 This program is distributed in the hope that it will be useful,
 but WITHOUT ANY WARRANTY; without even the implied warranty of
 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 GNU General Public License for more details.

 You should have received a copy of the GNU General Public License
 along with this program.  If not, see <http://www.gnu.org/licenses/>.
 */

import java.math.BigInteger;
import java.util.Scanner;

/**
 * This program uses big numbers to compute the odds of winning the grand prize
 * in a lottery.
 * 
 * @version 1.20 2004-02-10
 * @author Cay Horstmann
 */
public class BigIntegerTest {
  public static void main(String[] args) {
    Scanner in = new Scanner(System.in);

    System.out.print("How many numbers do you need to draw? ");
    int k = in.nextInt();

    System.out.print("What is the highest number you can draw? ");
    int n = in.nextInt();

    /*
     * compute binomial coefficient n*(n-1)*(n-2)*...*(n-k+1)/(1*2*3*...*k)
     */

    BigInteger lotteryOdds = BigInteger.valueOf(1);

    for (int i = 1; i <= k; i++)
      lotteryOdds = lotteryOdds.multiply(BigInteger.valueOf(n - i + 1)).divide(
          BigInteger.valueOf(i));

    System.out.println("Your odds are 1 in " + lotteryOdds + ". Good luck!");
  }
}

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This program uses big numbers to compute the odds of winning the grand prize in a lottery. : BigInteger « Data Type « Java

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