private static void RunSimulationAndPrintResults(Game game)
        {
            const int numSamples = 100000;
            var       rs         = new RunningStat();

            rs.Clear();

            for (int i = 0; i < numSamples; ++i)
            {
                PairingSimulation.RandomizeResult(ref game);
                rs.Push(game.BlackResult);
            }
            PrintStatisticResults("normal", 32, 7 * 7, rs.Mean(), rs.Variance(), rs.resultlist.Min(), rs.resultlist.Max());
            PrintGameResultStats(rs);
        }
        public void TestStandardDeviationForGame()
        {
            const int numSamples = 100000;
            var       rs         = new RunningStat();

            rs.Clear();
            var mean  = 32;
            var stdev = 7;

            for (int i = 0; i < numSamples; ++i)
            {
                rs.Push(SimpleRNG.GetNormal(mean, stdev));
            }
            PrintStatisticResults("normal", mean, stdev * stdev, rs.Mean(), rs.Variance(), rs.resultlist.Min(), rs.resultlist.Max());
            PrintGameResultStats(rs);
        }
 private static void PrintGameResultStats(RunningStat rs)
 {
     Console.WriteLine(
         $"Black wins {CalcResult(rs, r => r > 32)}, Draws {CalcResult(rs, r => r == 32)}, White wins {CalcResult(rs, r => r < 32)}");
 }