Coredump said:Rolling 4d6k3 is still *very* unlikely to produce an 18. Granted, probably more likely than a 25 point buy.
MUCH more likely, as luck would (literally) have it. I no longer have it available to me, but I once did an analysys of proabilities, and it turnsout that no less than two thirds (actually, more like "sixty-eight-and-a-fraction-of-a-percent") of all characters generated using "4d6 and drop thelowest" for attributes, willhave at least one attribute that is at least a 16. Of those two thirds, several will have multiple scores, and/or scores reaching 17 or 18.
Mind you, I didn't use fancy math ... I did it the hard way, and counted out every possible permutationof the dice (at the time, I simply didn't KNOW the right formulae). Pure brute force.
So the statement that those who roll their attributes are, unless singularly and repeatedly unlucky, more likely to have a 16 to convert into the "Holy 18", especiallyin light of the number of folks who roll multiple sets until they get one they "like", is entirely too accurate.
Of thirty character sets rolled, ten will have their highest score(s) be below 16. Even assuming "one rolled set, one character" ... that still means most of them get that sacred starting 18, after racial modifiers.
With a standard 25-point-buy, however ... it's not that common to see starting scores above the 14/15 mark, because above there, it just gets too darned expensive to justify the expense, without eviscerating other attributes, especially considering racial penalties.