What is the math formula... RE: Pineapple

What is the math formula for figuring out chances of being dealt pocket kings (for example) from a 52 card deck.
I assume the number 52 is involved as well as the number 2??? (I'm a mathematical moron).
And here's why - I want to substitute the number 2 (cards being dealt) with the number 3 (cards being dealt) for a pineapple tournament. I went and played in one and was well on my way to winning it except for a 2 outer on the river to the big stack at the final table. I came away seeing that the vast majority of people are playing it completely wrong and thinking that extra card is giving them license to play more speculative hands. This would be appropriate in Crazy Pineapple where you can see the flop before you discard, but this game has the discard BEFORE the flop is dealt (after the initial round of betting). So it is my hypothesis you should be even tighter and that you can actually afford to be as big pocket pairs will visit you more often. Tonight I had KK 3 times, AA once, JJ once, TT twice (also several other smaller pairs) - IN ABOUT 2 HOURS. Obviously if you get an extra card your chances of hitting a pair increases - but by how much?
Math Geeks?

There are four Kings so the odds of getting a King first is 1/13, then you have 3/51

1/13*3/51 should do it for you. I have never tried this before tho so excuse me if its incorrect.

Looks right for finding pocket kings, but not the same for finding a pocket pair

If your first 2 cards are not a pair, the third card gives you an extra 12% chance of pairing one of your first 2 cards...6/50.

Is it not just 4/52*3/51

Not sure where someone gets 1/13 from, the first card drawn is always going to be x/52, 1/13 would be if we were drawing for a specific King right? Whereas here we're just wanting any King and then another King drawn next

Your first 2 cards are going to pair ~5.9% of the time. 94.1% of the time you won't pair. In pineapple that 94.1 is going to pair 12% of the time..11.3%.

Chances been dealt pair in holdem = 5.9%

In pineapple 5.9 + 11.3 = 17.2%

orangepeeleo said:

Is it not just 4/52*3/51

Not sure where someone gets 1/13 from, the first card drawn is always going to be x/52, 1/13 would be if we were drawing for a specific King right? Whereas here we're just wanting any King and then another King drawn next

Click to expand...

Yes you are correct. To draw any king it is 4/52 which is simplified to 1/13. Then there are 3 kings left and 51 cards so 3/51.

1/52 would be drawing for a specific king.