I flopped quads twice last week.

Both times, my pocket pair hit the same pair on the flop.

I'll admit that I found the math daunting, so I did what any other lazy person would do:

I just counted 'em.

I used a Python script to generate all the possible flops, then went through the list and built the following tables.

I'm pretty sure this won't help anyone increase their winrate, but it is interesting...

**Suited hole cards**
** 0 Pair 1 Pair Trips Total **

** Monotone ** 1023 0 0 1023

** Rainbow ** 6072 1656 46 7774

** TwoSuit ** 9141 1662 0 10803

** Total ** 16236 3318 46 19600

**Offsuit hole cards**
** 0 Pair 1 Pair Trips Total **

** Monotone ** 1012 0 0 1012

** Rainbow ** 6094 1660 46 7800

** TwoSuit ** 9130 1658 0 10788

** Total ** 16236 3318 46 19600

The number for trips looked odd, but if you do not have a pocket pair, then there are 11 ranks with 4 combos of trips, and two with 1 each.

If you hold a pocket pair, then there are 12 ranks with 4 combos of trips each, and one rank with none, for 48.

This made me realize that all of the above are wrong if you have an offsuit pocket pair.

They're

*very* wrong if you hold a suited pocket pair, actually.

If you

*do* hold a pocket pair, then of the 50 unknown cards, two match your pair, leaving 48. Each of those 48 can go with your pocket pair 1 way, so you any time you hold a pocket pair, you have a 48/19600 or about 0.24% chance of hitting quads.

So yay me for doing it twice in about 5K hands.

Best of luck,

VS