Hugh wrote: ...

Seems like there's a psychological asymmetry though: I smile upon good rolling, but I don't enjoy good rolling as intensely as I curse bad rolling.

True. I would add that when I get good rolling I will not go watch the luck graph. I just don't care as it just means I had the good strategy and I am the best. It's very different with bad rolling...

True! I've noticed that some players even post the luckchart when they are unlucky. I have never seen anyone post a luckchart when they were lucky though! I see the same in poker. On every site i play people think that the site is 'screwing him over'. Its because we tend to focus on the negative instead of the positive!

Or no-one likes it when it's harder than othertimes. 

What are the odds winning a 3v1 (both sides using d6)?

It seems that it should be a high percentage, but I've found that I'm about 55-45 looking back through all my games for a couple weeks, including losing 11-in-a-row to a singleton on one occasion.

It depends on what you mean by 3 v 1.  If you mean you rolling 3 dice v opponent rolling 1 (so you must have 4 or more units in the attacking territory) then:

65.97% for 3 attacking dice versus 1 defending die

If you mean a terriotory with 3 units attacking a territory with one unit then:

57.87% for 2 attacking dice versus 1 defending die 

So, if you were rolling 3 dice v 1 die, you have been unlucky recently.

It's 3 attackers.  BTW, this was an improvement.  I found found some weeks that I'm under 50-50%.

Who wins ties? Defender or Attacker? I have only played a few games but it seems that wargear must give ties to Defender.

yes - ties go to the defender.