TC: I noticed the bias too. Since it is quite hard for us, but very easy for Fencer to generate large statistics, I think it should be investigated asap. It is a potential exploit. For instance it makes 13/5 with an opening 62 much better than the usual 24/18 13/11 (until now I refrained from using that exploit).

My guess was that it had to do with the player at move winning or losing the opening roll in a multi-game match. But I didn't check that.

On a remotely related note, very long ago I submitted bug #1487 about a bias in the random placement in Logic, based on a statistic of 50x5 peg generations. I didn't even get an answer. I think that Fencer sometimes commits the fallacy of generalizing "some of my users are idiots" to "all my users are idiots".