1/52
and then if you guess again without replacing the card, the denominator lowers.
So:
3 of hearts! 1/52
(2 of clubs tossed out)
... oh dang, um, well jack of spades, 1/51..
etc.
as long as you don't guess a card that's been tossed out (in which case its 0% lol)
4 out of 52
3/4
There are four 9's and 48 non-9's. The odds against a 9 is 48 to 4.
If you put the one card back in before trying it the second time, then the odds are slightly worse; otherwise, the odds are the same - it does not matter if you pull two cards at once or one card twice, subject to the noted limitation.
Since half of the cards (26 of the 52) are a red card (hearts and diamonds) the odds are 1 in 2 (or 50%) that any given card will be red.
The odds against drawing a 10 out of a 52 card deck are 12:1.
The odds of getting a flush in a standard 52-card deck are approximately 0.2, or 1 in 508.
The odds of drawing a specific card in a game of Magic: The Gathering depend on the total number of cards in your deck and how many copies of that specific card are in the deck. If you have a 60-card deck and 4 copies of the card you want, the odds of drawing it on your first turn are about 6.7.
The odds of being dealt a pair in a standard 52-card deck are approximately 1 in 17.
The odds of getting 4 of a kind in a standard 52-card deck are approximately 1 in 4165.
The odds of getting a 4 of a kind in a standard 52-card deck are approximately 1 in 4165.
The odds of getting a four of a kind in a standard 52-card deck are approximately 1 in 4,165.
The odds of getting four of a kind in a standard 52-card deck are approximately 1 in 4,165.
The odds of getting a poker three of a kind in a standard 52-card deck are approximately 2.11.
The odds of being dealt a 7 card straight flush in a standard 52-card deck are approximately 1 in 64,974.
The odds of achieving a flush in a standard 52-card deck in a game of poker are approximately 1 in 508.
The odds of achieving a flush with suited cards in a standard 52-card deck are approximately 1 in 508.