A is 1 in 52! which makes it less likely than 5 power balls. I don't even know how to measure the others at all.

A is not 1 in 52. assuming that a "shuffling" produces a random ordering of the cards, you randomly produce 1 out of the 52! possible orderings of the 52 cards. that's 52 factorial, not "52 excited exclamation".

which comes out to roughly 8.0658175170945e+67 - that's 8 with 67 zeros following it.

now, let's get back to our regularly scheduled programming.

EDIT: sorry, i completely missed the ! after /your/ 52 and thought you said "1 in 52". my bad. i must be getitng blind in my old age.