[Troll_Inc]

Running it 4 times does lower the variance almost exactly 1/4 but that is still "not much" for the metric that matters, namely the net result of playing poker.

The reason is that it is still way above the average winrate.

This is what I mean about not thinking about the problem at hand. You get caught up in your formulas and don't think things through.

So in summary for those that care about the right answer, if you ran into this situation one hundred times and had the choice between running it once or running it four times, it doesn't matter which method you chose because you wouldn't be able to tell the difference.