4/52*3/51*2/50*1/49=24/6,497,400
It can be reduced.
1/270,725
Notice the numerator is the number of the desirable choices.
The denominator is the total number available.
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The probability of drawing four aces in a draw of four cards from a deck of 52 cards is 3 in 812175. (4 in 52) times (3 in 51) times (2 in 50) times (1 in 49)
The probability of drawing a spade or an ace from a 52 card deck of standard playing cards is 16 / 52 or approximately 30.8%. There are 13 spades in a standard deck of cards. There are four aces in a standard deck of cards. One of the aces is a spade. So, 13 + 4 - 1 = 16 spades or aces to choose from. Since we have a total of 52 cards, the probability of selecting an ace or a spade is 16 / 52 or approximately 30.8%.
Since there are only four aces in a standard 52 card deck, the probability of being dealt five aces is zero.
There are four Aces in a standard deck of 52 cards. The probability, then, of not drawing an Ace is (52 - 4) in 52, or 48 in 52, or 12 in 13, or about 0.9231.
Since every full pack has four aces, there would be eight aces in two packs. You would have a very good chance of drawing one or more aces.