if you role two six sided dice you are just as likely to get two sixes as you are to get a three and a five.
Nitpick: this is true if by “a three and a five” you mean (that the dice are labeled and) “die A comes up 3, and die B comes up 5″, but it’s false as written (and in games like Settlers, the identities of simultaneously thrown dice are not tracked).
(and in games like Settlers, the identities of simultaneously thrown dice are not tracked).
They are tracked actually, at least in the latest version—the only one worth playing. The red one determines whether or not you qualify for a bonus card. So yes, obviously I mean “a three and then a 5”. If also considering a five and then a three then the point becomes even stronger.
Actually p(just one 1) = 10/(2^10).
Nitpick: this is true if by “a three and a five” you mean (that the dice are labeled and) “die A comes up 3, and die B comes up 5″, but it’s false as written (and in games like Settlers, the identities of simultaneously thrown dice are not tracked).
They are tracked actually, at least in the latest version—the only one worth playing. The red one determines whether or not you qualify for a bonus card. So yes, obviously I mean “a three and then a 5”. If also considering a five and then a three then the point becomes even stronger.