Is it correct to say 'plenty of chance' rather than 'plenty of chances' or are they both acceptable? You certainly wouldn't say 'many chance' but 'many chances'. Is there something about the phrase 'plenty of' or is it that the word 'chance' can be used to mean more than one opportunity, thus intrinsically denoting a plurality of concept? Can anyone explain the correct usage?
"Luck" has a few definitions - one is "the quantity of luck" and the other is "the abstract concept of luckiness in general".
One of the meanings of "Chance" is synonymous with the "abstract concept of luckiness in general". (As in "games of chance"). Another meaning is "opportunity".
However, there is no meaning of "chance" which is synonymous with "the quantity of luck".
So, to use some golfing examples (Golf is a luck-heavy sport) you could say "With a bit more luck, I can get this hole in 3 shots" but you can't say "With a bit more chance, I can get this hole in 3 shots".
You could say "I've got a chance to get this hole in 3 shots.", if, say, you'd been lucky so far and needed a little bit more luck to make the last shot.
"Plenty of luck" is using the "quantity of luck" meaning, and so you cannot subsitute the word "chance". You can say "chances", as that means "opportunities".