import java.util.Random;
 
class Probability {
	private static final int[] BOUNDS = {
		720,1800,3592,7240,14416,
		25552,42592,69052,109156,159932,
		218948,279608,335408,376000,400284,
		411252,414580,415356,415436,415440};
 
	public static void main(String[] args) {
		Random r = new Random();
 
		int[] results = new int[200];
 
		for(int k = 0; k < 1_000_000; k++) {
			int score = 0;
			for(int j = 0; j < 7; j++) {
				int combo = r.nextInt(415440);
				int i;
				for(i = 0; i < 20; i++) {
					if(combo < BOUNDS[i]) break;
				}
				score += i+1;
			}
			results[score]++;
		}
 
		for(int i = 0; i < 200; i++) {
			// Formatting the output to be easily placed into latex
			if(results[i] > 0) System.out.println(i + " & " + results[i] + " \\\\");
		}
	}
}

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