Source code in the java programming language

public class Prob{
	static long TRIALS= 1000000;

	private static class Expv{
		public String name;
		public int probcount;
		public double expect;
		public double mapping;

		public Expv(String name, int probcount, double expect, double mapping){
			this.name= name;
			this.probcount= probcount;
			this.expect= expect;
			this.mapping= mapping;
		}
	}

	static Expv[] items=
			{new Expv("aleph", 0, 0.0, 0.0), new Expv("beth", 0, 0.0, 0.0),
					new Expv("gimel", 0, 0.0, 0.0),
					new Expv("daleth", 0, 0.0, 0.0),
					new Expv("he", 0, 0.0, 0.0), new Expv("waw", 0, 0.0, 0.0),
					new Expv("zayin", 0, 0.0, 0.0),
					new Expv("heth", 0, 0.0, 0.0)};

	public static void main(String[] args){
		int i, j;
		double rnum, tsum= 0.0;

		for(i= 0, rnum= 5.0;i < 7;i++, rnum+= 1.0){
			items[i].expect= 1.0 / rnum;
			tsum+= items[i].expect;
		}
		items[7].expect= 1.0 - tsum;

		items[0].mapping= 1.0 / 5.0;
		for(i= 1;i < 7;i++){
			items[i].mapping= items[i - 1].mapping + 1.0 / ((double)i + 5.0);
		}
		items[7].mapping= 1.0;


		for(i= 0;i < TRIALS;i++){
			rnum= Math.random();
			for(j= 0;j < 8;j++){
				if(rnum < items[j].mapping){
					items[j].probcount++;
					break;
				}
			}
		}

		System.out.printf("Trials: %d\n", TRIALS);
		System.out.printf("Items:          ");
		for(i= 0;i < 8;i++)
			System.out.printf("%-8s ", items[i].name);
		System.out.printf("\nTarget prob.:   ");
		for(i= 0;i < 8;i++)
			System.out.printf("%8.6f ", items[i].expect);
		System.out.printf("\nAttained prob.: ");
		for(i= 0;i < 8;i++)
			System.out.printf("%8.6f ", (double)(items[i].probcount)
					/ (double)TRIALS);
		System.out.printf("\n");

	}
}


import java.util.EnumMap;

public class Prob {
	public static long TRIALS= 1000000;
	public enum Glyph{
		ALEPH, BETH, GIMEL, DALETH, HE, WAW, ZAYIN, HETH;
	}
	
	public static EnumMap<Glyph, Double> probs = new EnumMap<Glyph, Double>(Glyph.class){{
		put(Glyph.ALEPH,   1/5.0);
		put(Glyph.BETH,    1/6.0);
		put(Glyph.GIMEL,   1/7.0);
		put(Glyph.DALETH,  1/8.0);
		put(Glyph.HE,      1/9.0);
		put(Glyph.WAW,     1/10.0);
		put(Glyph.ZAYIN,   1/11.0);
		put(Glyph.HETH,    1759./27720);
	}};
	
	public static EnumMap<Glyph, Double> counts = new EnumMap<Glyph, Double>(Glyph.class){{
		put(Glyph.ALEPH, 0.);put(Glyph.BETH,   0.);
		put(Glyph.GIMEL, 0.);put(Glyph.DALETH, 0.);
		put(Glyph.HE,    0.);put(Glyph.WAW,    0.);
		put(Glyph.ZAYIN, 0.);put(Glyph.HETH,   0.);
	}};
	
	public static void main(String[] args){
		System.out.println("Target probabliities:\t" + probs);
		for(long i = 0; i < TRIALS; i++){
			Glyph choice = getChoice();
			counts.put(choice, counts.get(choice) + 1);
		}

		//correct the counts to probablities in (0..1]
		for(Glyph glyph:counts.keySet()){
			counts.put(glyph, counts.get(glyph) / TRIALS);
		}
		
		System.out.println("Actual probabliities:\t" + counts);
	}
	
	private static Glyph getChoice() {
		double rand = Math.random();
		for(Glyph item:Glyph.values()){
			if(rand < probs.get(item)){
				return item;
			}
			rand -= probs.get(item);
		}
		return null;
	}
}