I don't see the problem. I didn't include every definition, but a lot of them do include the word chance. Not sure where you get the despicably dishonest part, since I paraphrased. I said "pretty much the same thing". Which, it does say pretty much the same thing.
There are going to be definitions that are slightly different. But they mostly seem to say about the same thing. Something random that happens by chance. It's usually said to be a good thing, but it can be bad too, like bad luck.
And dictionary.com also says pretty much the same thing. Not every definition says it's something that happens by chance, and not every definition says not as a result of your own abilities.
So when I say I make a move and rely on luck, I mean just that. I think chess has about the least amount of luck of any game I can think of. But there are times that I move for no apparent reason. No plan, no idea, not even a suspicion of what might be a good move. Sure I make the move, so I control the move. The other option would be to just stop moving and lose on time. But it's no different than tossing a coin when deciding. If there is no reason behind the move, I would say the result of the move is because of luck. Or chance.
G’nite folks. Time for the Blues show on KEWU.