Actually, when the odds are higher than one in 10 to the power 50, it is considered mathematically impossible even in infinite time.
Actually, that's known as
Borel's Law and you have mangled it in standard creationist fashion. Nobody who understands it claims that when the odds against something are bigger than that it can't happen. Shuffle a deck of 52 cards. Look at the arrangement produced. The odds against that arrangement being produced are much greater than 10
50, in fact it's a little bigger than 8*10
67.
But there it is. Do you think it's impossible to shuffle a deck of cards?