samuelanonymous wrote:i seriously think the dice is rigged. what are the chances of getting 3 triple 1s in a row and the other guy rolling 3 double 6s in a row? and that happens at least once in every game i play.
If I understand the question correctly, you're asking what are the chances of throwing this sequence of dice:
111 66 111 66 111 66
The answer is:
1 / (6^15) = 2.13E-12,
which is a little better than twice every one trillion rolls.
So if you're seeing this happen at least once in every game, you are throwing a lot of dice. Seriously, I hope you're making a lot of use of auto-attack! No wonder CC slows down sometimes.
Throwing that sequence of dice is a rare event, but then throwing this sequence of dice is an equally rare event:
152 35 316 63 421 24
In fact any specific sequence of 15 throws of the dice has exactly the same probability of occurring: 1 / (6^15) = 2.13E-12
Each throw of the dice is independent from every other throw of the dice. That is, the fact that you just threw a 6, doesn't make it any less likely or any more likely that the next throw will be a 6.
Of course, a bad beat doesn't have to look like:
111 66 111 66 111 66
The attacker loses 6 armies in such a series of attacks, while the defender loses none.
Exactly the same outcome occurs from this sequence of dice too:
152 35 316 63 421 24
The attacker loses 6 armies and the defender loses none.