KraphtOne wrote:sure over 20,000 games my dice will even out... but it is borderline retarded for you to tell me that i can possibly lose 23 vs 1...
Analysis of 23 v 1. Okay, so for your first 20 roll you were rolling 3 dice to 1, then the 21st roll you rolled 2 dice to 1, and then on your last roll you rolled 1 dice to 1.
Probability of losing any of the first 20 = 0.3403
Probability of losing on the 21st roll = 0.4213
Probability of losing on the last roll actually goes to the defender = 0.5833
Okay, so your aggregate probability of losing that is 0.3403^20 * 0.4213 * 0.5833, and taking the inverse of that to express it as odds we get 1 in 9,381,614,482
1 in 9 billion and change. Pretty rare result, I'll grant you that. Not "statistically impossible" obviously, but pretty rare. Still, you've rolled the dice two and a half million times just since they started keeping track, and I-don't-know how many times before that, so if anyone was to come up against some of the freakier results, I would expect it to be you.
KraphtOne wrote:hell we lose 15s+ vs 2s or 3s all the time (statistically impossible) and just chalk it up to bad luck... but seriously that should NEVER happen, and if it does it should be posted in forums on how insane it was... B
Unlike your 23v1 example, 15v2 is not nearly as rare.
The math is quite complex, but luckily 15v2 is common enough that it appears on Risk website tables, like this one:
http://www.datagenetics.com/blog/november22011/2 defenders, 15 attackers, the attacker wins 99.975% of the time. That means 3999 times out of 4000, 15v2 will win. One time out of 4000, the defender will win. Again, you're a guy who's rolled the dice two and a half
million times. How many of those were 15v2? Impossible to say, but I'm guessing there's at least ten thousand or so instances of that, so I would expect you to have been in that situation a few times at least.
15v3 is, of course, even less unusual. The attacker will win 99.867% of the time, so the defender will win 0.133% of the time, which is once in every 752 instances. Not common, but not extraordinarily rare, either. Again, for a guy who's rolled the dice two and a half million times...