4 of a kind

[BruceZ]

The odds of having four of a kind is 0.00024. So, to have four of a kind in two hands in a row is about one chance from 16,000,000 (sixteen million)

The 0.00024 is off by a factor of 2, so the final answer is off by a factor of 4 (should be about 4 million).
(1/17)*C(48,3)/C(50,5) = 0.00048. This is the probability of getting dealt a pair and making quads. If you show your work, we can figure out where the factor of 2 went. Your answer would be correct for pat quads in 5 card draw. That is 13*48/C(52,5) = 0.00024.

For 7 card poker, this would be 13*C(48,3)/C(52,7) = 0.001681. This would include all quads, using both, one, or neither hole card. The chance of this twice in a row would be 1 in 354,025. The difference between this and the other answers is that it includes the cases where quads is on the board in addition to using 1 hole card or a pair in the hole, so it includes all quads. The case of quads on the board is not always a split pot as I refered to it earlier unless both players use the board for the kicker.

[southerndog]

I did it at Foxwoods a coupla weeks ago!!

[Wenona]

This happened in a game I was in recently - just shows anything is possible.

Consecutive games - same player - pair of twos in hole both times - flops quad two's BOTH times!!!! 2 games running!!!!

These were consecutive games!!!

Game 1:
POKERSTARS GAME #217297639: HOLD'EM NO LIMIT ($0.10/$0.25) - 2003/12/21 - 19:43:45 (ET)
Table 'Ruchbah' Seat #1 is the button
Seat 1: JoeNFC ($14.30 in chips)
Seat 2: simuni24 ($8.75 in chips)
Seat 3: dr.vrp ($2.75 in chips)
Seat 4: harly ($16.15 in chips)
Seat 5: oktoplay ($12.50 in chips)
Seat 6: keeldog ($11.90 in chips)
Seat 7: paul_bunyan ($36.25 in chips)
Seat 8: Wenona ($25.10 in chips)
Seat 9: RcknSully ($22.05 in chips)
simuni24: posts small blind $0.10
dr.vrp: posts big blind $0.25
*** HOLE CARDS ***
Dealt to Wenona [7d Ts]
harly: calls $0.25
oktoplay: folds
keeldog: calls $0.25
paul_bunyan: folds
Wenona: folds
RcknSully: calls $0.25
JoeNFC: folds
simuni24: calls $0.15
dr.vrp: checks
*** FLOP *** [Ac 2s 2c]
simuni24: checks
dr.vrp: checks
harly: bets $0.25
keeldog: folds
RcknSully: raises $0.75 to $1
simuni24: folds
dr.vrp: folds
harly: calls $0.75
*** TURN *** [Ac 2s 2c] [4h]
harly: checks
RcknSully: bets $1.25
harly: calls $1.25
*** RIVER *** [Ac 2s 2c 4h] [8c]
harly: checks
RcknSully: bets $1
harly: raises $12.65 to $13.65 and is all-in
RcknSully: folds
harly collected $7.40 from pot
harly: shows [2d 2h] (four of a kind, Deuces)
*** SUMMARY ***
Total pot $7.75 | Rake $0.35
Board [Ac 2s 2c 4h 8c]
Seat 1: JoeNFC (button) folded before Flop (didn't bet)
Seat 2: simuni24 (small blind) folded on the Flop
Seat 3: dr.vrp (big blind) folded on the Flop
Seat 4: harly collected ($7.40)
Seat 5: oktoplay folded before Flop (didn't bet)
Seat 6: keeldog folded on the Flop
Seat 7: paul_bunyan folded before Flop (didn't bet)
Seat 8: Wenona folded before Flop (didn't bet)
Seat 9: RcknSully folded on the River


Next Game:

POKERSTARS GAME #217299581: HOLD'EM NO LIMIT ($0.10/$0.25) - 2003/12/21 - 19:45:37 (ET)
Table 'Ruchbah' Seat #2 is the button
Seat 1: JoeNFC ($14.30 in chips)
Seat 2: simuni24 ($8.50 in chips)
Seat 3: dr.vrp ($2.50 in chips)
Seat 4: harly ($20.05 in chips)
Seat 5: oktoplay ($12.50 in chips)
Seat 6: keeldog ($11.65 in chips)
Seat 7: paul_bunyan ($36.25 in chips)
Seat 8: Wenona ($25.10 in chips)
Seat 9: RcknSully ($18.55 in chips)
RcknSully said, "vn"
dr.vrp: posts small blind $0.10
dr.vrp said, "vnh"
harly: posts big blind $0.25
*** HOLE CARDS ***
Dealt to Wenona [8h Qh]
oktoplay: raises $0.25 to $0.50
keeldog: calls $0.50
paul_bunyan: calls $0.50
Wenona: folds
RcknSully: folds
JoeNFC: folds
simuni24: folds
JoeNFC is sitting out
dr.vrp: folds
harly: calls $0.25
*** FLOP *** [Ks 2s 2h]
harly said, "tx"
harly: bets $0.25
oktoplay: calls $0.25
keeldog: calls $0.25
dr.vrp said, "got em again ??"
paul_bunyan: calls $0.25
*** TURN *** [Ks 2s 2h] [6s]
harly: checks
oktoplay: bets $0.50
keeldog: calls $0.50
paul_bunyan: raises $1.50 to $2
harly: calls $2
oktoplay: folds
keeldog: calls $1.50
*** RIVER *** [Ks 2s 2h 6s] [Ah]
harly: bets $17.30 and is all-in
keeldog: folds
paul_bunyan: calls $17.30
*** SHOW DOWN ***
harly: shows [2d 2c] (four of a kind, Deuces)
paul_bunyan: mucks hand
keeldog said, "wow"
harly collected $42.05 from pot
oktoplay said, "twiceeeeeeeeeeeeeeeeeeeeeeeeee"
*** SUMMARY ***
Total pot $44.20 | Rake $2.15
Board [Ks 2s 2h 6s Ah]
Seat 1: JoeNFC folded before Flop (didn't bet)
Seat 2: simuni24 (button) folded before Flop (didn't bet)
Seat 3: dr.vrp (small blind) folded before Flop
Seat 4: harly (big blind) showed [2d 2c] and won ($42.05) with four of a kind, Deuces
Seat 5: oktoplay folded on the Turn
Seat 6: keeldog folded on the River
Seat 7: paul_bunyan mucked [6c 6h] - a full house, Sixes full of Deuces
Seat 8: Wenona folded before Flop (didn't bet)
Seat 9: RcknSully folded before Flop (didn't bet)


Ever seen anything like it? [img]/images/graemlins/confused.gif[/img]