"Felix Felicis" aslo known as the "lucky potion" is a fictional item in the Harry Potter series. It's a magical concoction that makes anyone who drinks it extraordinarily lucky. Harry used it in the sixth installment "Harry Potter and the Half-Blood Prince" to increase his odds of convincing Prof. Slughorn to give him the memory which held Voldemort's darkest secret.
This potion proved to be effective since Harry was able to get the information he needed without much effort after taking it in.
It's just a bit odd how this item seemed to be really powerful, and yet, nobody had thought to use it during the 2nd wizarding world war when all hopes depended on whether they win or lose.
What could have happened if one of them drank it during the battle at Hogwarts? Could it even have worked? Or maybe some of them did use it but wasn't mentioned. But then Fred and the others wouldn't have died. Or it could also be that the author had a different meaning of luck.
Of course the writer had her reasons. Still, it's intriguing.
Kudos to J.K. Rowling. Brilliant writer.