Basically a thread with all the pocket hands and the math involved, great thing about this thread is you can add your OWN interpretations:
(Pre-Emptive)
Missing: One-Pair.
Found: Pocket Deviation: 2/52 * (42/50 * 39/42) * 42/3 = 137,592/327,600 = 42% + 2.02%% (2/14 * 2/14)/2 =
22.01% 1 or the other getting a pair
Found: Pocket Pair w/o as item: 1/52 * (43/51 * 40/43) * 43/3 = 73,960/342,108 21.62% + 14.28% (2/14 * 2/14)/2 =
9.4725%
Pocket pair as Pre-Flop: 78/1326=0.0588
Missing: Two-Pair.
Missing: Pocket-Pair.
Missing: Pocket-Deviation.
(Post-Emptive)
Missing: Number-2/14.
Missing: Suited-2/14.
__________________________________________________ ______________________________________
New: Trips w/o pockets: 2/52 * 42/50 * 2/42 * 42/1 = 7,056/109,200 = 6.46% + (2/14) 14.28% / 2 =
10.37%
New: Trips w/ pockets: 1/52 * 41/50 * 6/41 * 41/2 = 10,086/213,200 = 4.72% + (2/14 * 2/14) 7.14% / 2 =
4.725%
New: Straight w/o pockets: 2/52 * 42/50 * 3/42 * 42/3 = 10584/327600 = 3.23% + (2/14 * 2/14) 8.76% / 2 =
4.38%
New: Straight w/ pockets: 1/52 * 41/50 * 4/41 * 41/4 = 80688/1279200 = 6.307% + (2/14 * 2/14) 2.02% / 2 =
4.16%
New: Flush w/o pockets: 2/52 * 42/50 * 12/42 * 42/3 = 42,336/327,600 = 12.92% + (2/14 * 2/14) 2.02% / 2 =
7.47%
New: Flush w/ pockets: 1/52 * 41/50 * 13/41 * 41/4 = 21,853/426,400 = 5.125% + (2./14 * 2/14) 2.02% / 2 =
3.57%
Missing: Full-House.
New: Quads w/o pockets: 2/52 * 42/50 * 2/42 * 42/2 = 7,056/218400 = 3.23% + (2/14 * 2/14) 2.02% / 2 =
2.625%
New: Quads w/ pockets: 1/52 * 41/50 * 6/41 * 41/3 = 10,086/319,800 = 3.15% + (2/14 * 2/14) 2.02% / 2 =
2.585%
Straight Flush w/o pockets: 2/52 * 42/50 * 3/42 * 42/3 * 3/12 * 12/42 = 381024/165110400 = 0.23076% + (2/14 *2/14) 2.0208% / 2 =
1.1253%
Straight Flush w/ pockets: 1/52 * 41/50 * 4/41 * 41/4 * 4/12 * 12/42 = 322752/214905600 = 0.150183% + 2.02% / 2 =
1.0850%
______________________
Missing: RoyalFlush.
Royal Flush w/ Pocket-pair: 2/52
Royal Flush w/ Pocket-deviation: 1/52
Hints: Royal Flush: 3/12 or 4/12 * 3/28 or 4/28 <--- I'm kinda looking for help here...
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Thread: Add your own examples thread
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12-07-2015, 06:59 PM #1
Non-Spoiler: Poker n' Mathematics
Last edited by eqgh5uea; 01-06-2021 at 08:42 PM.
"We have met the enemy and they are ours; two ships, two brigs, one schooner and one sloop." --- O.H. Perry