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Texas Holdem Quads (4ofAKind) Statistics

Below shows the probabalities of obtaining four of a kind for both pocket pairs and non pocket pairs. Note that the calculations only include quads that complete your pocket pair not for community quads.

You can see that pocket pair hole cards have more than a 8x better chance of getting quads than non pocket pair hole cards. (C(n,r) choose function)

Pocket pair hole cards:
C(48,3) / C(50,5) = 0.816%

Non pocket pair hole cards:
2 * C(47,2) / C(50,5) = 0.102%

The table below shows the quad draw probabilities while holding pocket pair hole cards. Note that the calculations only include quads that complete your pocket pair not for community quads.

Draw Probabilities for obtaining quads with pocket pair hole cards
Complete on FlopComplete on TurnComplete on River
0.245%2.128%2.174%