A better game for that group would be Fluxx (http://www.boardgamegeek.com/boardgame/258) -> lots of fun, interesting decisions, but a massive element of luck. In Fluxx, if you know what you're doing and get lucky, you can win extremely fast. If you don't get lucky, though, you're stuck. I've found that people interested in a light-weight game always end up liking it.
"if you know what you're doing and get lucky, you can win extremely fast."
I would turn that around. The luck factor in Fluxx is staggeringly high. However, what makes Fluxx fun is that it does not make any attempt whatsoever to hide that fact.
My problem with SoC is that it has a very high luck factor, but that the game also tries very hard to hide that fact.
The expansion Cities and Knights or using a deck of cards with the dicerolls make SoC bearable.
...except that many non-gamers are really flummoxed by the way Fluxx's changing goals keep putting different demands on them. They feel like the rug's been pulled out from under them, when really all that's happening is they're playing a game that's all tactics and no strategy.
Ugg, seems like everyone has a copy of fluxx and while it might take no time to teach or setup it is really not that good of a game unless you are seriously drunk.