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  1. #1
    Library Master Champion eqgh5uea's Avatar
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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 Deviation: 1/52 * (43/51 * 40/43) * 43/3 = 73,960/342,108 21.62% + 14.28% (2/14)/2 =

    17.95% specifically one card but you're only dealt one...

    Missing: Two-Pair.
    Missing: Pocket-Pair.
    Missing: Pocket-Deviation.

    (Post-Emptive)

    Missing: Number-2/14.
    Missing: Suited-2/14.

    __________________________________________________ ______________________________________

    New: Trips w/ pocket-pair: 2/52 * 42/50 * 2/42 * 42/1 = 7,056/109,200 = 6.46% + (2/14) 14.28% / 2 =

    10.37%

    New: Trips w/ pocket-deviation: 1/52 * 41/50 * 6/41 * 41/2 = 10,086/213,200 = 4.72% + (2/14) 14.28% / 2 =

    9.5%

    New: Straight w/ pocket-pair: 2/52 * 42/50 * 3/42 * 42/3 = 10584/327600 = 3.23% + (2/14) 14.28% / 2 =

    8.76%

    New: Straight w/ pocket-deviation: 1/52 * 41/50 * 4/41 * 41/4 = 80688/1279200 = 6.307% + (2/14 * 2/14) 2.02% / 2 =

    4.16%

    New: Flush w/ pocket-pair: 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/ pocket-deviation: 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/ pocket-pair: 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/ pocket-deviation: 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/ pocket-pair: 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/ pocket-deviation: 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; 01-11-2016 at 08:28 PM.
    "We have met the enemy and they are ours; two ships, two brigs, one schooner and one sloop." --- O.H. Perry

  2. #2
    Library Master Champion eqgh5uea's Avatar
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    Notes: Below to final reply.
    Last edited by eqgh5uea; 12-29-2015 at 11:57 PM.
    "We have met the enemy and they are ours; two ships, two brigs, one schooner and one sloop." --- O.H. Perry

  3. #3
    Library Master Champion eqgh5uea's Avatar
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    Edit: Irrelevant.
    Last edited by eqgh5uea; 12-29-2015 at 11:40 PM.
    "We have met the enemy and they are ours; two ships, two brigs, one schooner and one sloop." --- O.H. Perry

  4. #4
    Library Master Champion eqgh5uea's Avatar
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    Edit: Irrelevant.
    Last edited by eqgh5uea; 12-29-2015 at 11:40 PM.
    "We have met the enemy and they are ours; two ships, two brigs, one schooner and one sloop." --- O.H. Perry

  5. #5
    TON is Gone.
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    The pre flop % of me following any of the above....... less then 0
    TON is GONE. Blame the Mods. They stopped caring, or at least that's how it looks and feels.

  6. #6
    Library Master Champion eqgh5uea's Avatar
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    Notes:

    #1: Small Variance in adding burn cards and more plrs example: 2/52 * 42/50 * 6/42 * 42/1(2) = two-pair = 21,168/218,400 = 9.6923076% [one pair calc. #2: 21,168/109,200 = 19.38% etc etc

    #2: The advent of preflop dividends allows, no must allow, a separation between 2/14 * 2/14 after the post flop calc. as a whole, just like how you can't find the hypotenuse (twice) using pythogerom theorum using a square as the meaningful or pre-emptive capacitor. You need to use ratios as in SINE/cosine * TANGENT/cotangent * HYPOTENUSE/cohord...

    #3: Taken into account, triangle "hats" for ForceGravity equations don't account in modern computer programming I must assume that it is more unlikely that a pocket-pair quad is, is to a str8 flush.

    #4: It is funny to my mind, that I have gotten 3-4 str8 flushes yet only 1-2 pocket pair quads.

    #5: add another person or even burn cards and it becomes = 0.8% etc, another person 0.7% etc, which is why I nevr got one yet, EVER

    #6: I think you need the 4/196 calc. coz there's ONLY two cards in the whole deck that can help you, negating (ForceGross [-])any sense of suited enumerations; I think thats why the 2/14 for BOTH pocket-pair and pocket-dev works; it also might explain why a pocket-dev str8 is less likely to happen than a pocket-pair flush, but you get more $$$ they're in tandem here, but try to think of them seperately.

    #7: Seems about right, I put 12 for the bottom two-pair component since simply dividing 19.5% by two doesn't take into about error correcting coding found in the 'light-slot' experiment.

    #8: It might be relevant to add flipped dividends of 2/14 * 14/2 (example) to 100% using the completion-equals format to alleviate certain avenues of ForceGross (-). In essence multiplying or exponents in general would probably be circumvented to ForceGravity or ForceNormal or ForceTension, all neutral based equal signs.

    #9: I think what you would need (to make the format ForceNormal/Ionized or the following since most computers don't use lasers/ForceGravity) should be flipped however the tension of the situation would likely always (in poker at least) call for the separation 2/14 * 2/14 when dealing with poket-deviation cards that aren't looking for a completion and still has the 'does not' equal format =/=: it might be suitable to add ENGLISH characters/glyphs.
    Last edited by eqgh5uea; 01-01-2016 at 09:22 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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