Is this shuffle random by property

def shuffle(deck):
    for i in range(len(deck)):
        idxToPlaceHere = randint(i, len(deck) -1)
        swap(deck, i, idxToPlaceHere);

I know theres a standard random shuffle algo on here among other sites, but for some reason this is the natural way I write shuffle. It seems to me to maintain (len-1)! possibilities. I'm new at this stuff though so can someone please confirm whether or not this is random so I know if I must memorize the standard way of doing it so as to not bomb my interview. Thanks.