Data update

Task/Dice-game-probabilities/C-sharp/dice-game-probabilities.cs

@@ -0,0 +1,50 @@
+using System;
+
+class Program
+{
+    static uint MinOf(uint x, uint y)
+    {
+        return x < y ? x : y;
+    }
+
+    static void ThrowDie(uint nSides, uint nDice, uint s, uint[] counts)
+    {
+        if (nDice == 0)
+        {
+            counts[s]++;
+            return;
+        }
+        for (uint i = 1; i <= nSides; i++)
+        {
+            ThrowDie(nSides, nDice - 1, s + i, counts);
+        }
+    }
+
+    static double BeatingProbability(uint nSides1, uint nDice1, uint nSides2, uint nDice2)
+    {
+        uint len1 = (nSides1 + 1) * nDice1;
+        uint[] c1 = new uint[len1]; // initialized to zero by default
+        ThrowDie(nSides1, nDice1, 0, c1);
+
+        uint len2 = (nSides2 + 1) * nDice2;
+        uint[] c2 = new uint[len2];
+        ThrowDie(nSides2, nDice2, 0, c2);
+        double p12 = Math.Pow(nSides1, nDice1) * Math.Pow(nSides2, nDice2);
+
+        double tot = 0.0;
+        for (uint i = 0; i < len1; i++)
+        {
+            for (uint j = 0; j < MinOf(i, len2); j++)
+            {
+                tot += (double)(c1[i] * c2[j]) / p12;
+            }
+        }
+        return tot;
+    }
+
+    static void Main(string[] args)
+    {
+        Console.WriteLine(BeatingProbability(4, 9, 6, 6));
+        Console.WriteLine(BeatingProbability(10, 5, 7, 6));
+    }
+}