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  1. #1
    Library Master Champion eqgh5uea's Avatar
    Join Date
    Apr 2011
    Posts
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    Question Non-Spoiler: Poker n' Mathematics

    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...
    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

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