Hashgacha Pratis: one need to include the implication that whatever worked out wasn’t due to your efforts
Dan Lekaf Zechus: That’s not a definition, but an example
Kiddush Hashem: 1) again, that’s an example, not a definition; 2) do you have empirical evidence but the existence of non-rowdy boys (well, perhaps if there is something wrong with them, Ha-Shem designed boys to be rowdy)