Dope Tech Episode 2

<<@snorlaxisgod7506 says : Yeah but what if you have just found several Uranus cards before you found Venus cards. Also you could be running a spare trousers build so the bigger hand is not always better>> <<@ruudh.g.vantol4306 says : Meh, just keep the original order, as the difference is far too little to worry about. We let the dealer decide the rules, and any new rule set needs test rounds and a voting.>> <<@MrSparkefrostie says : Poker related, rather than the probability of getting a hand, what is the probability of winning with a hand, intuition tells me that highest card would flip, probably winning with a queen with 3 players being the most unlikely>> <<@user-nj1qc7uc9c says : i hear "5 of a kind" i think "balatro">> <<@mason7642 says : solution 2 pair and 3 of a kind should be the same value>> <<@philipwicks says : Very well explained.>> <<@Makowako_ says : Prediction: the fact what the joker becomes is based on ranking of hands, there will be a loop where moving a hands ranking means the joker becomes something different and you need to move the ranking back>> <<@goatgamer001 says : There are two solutions: either eliminate the two pair, or keep it even if it's less likely. You are just unlucky you didn't get the joker, but it's still better than one or no pair. (Without flush or straight)>> <<@goatgamer001 says : There are two solutions: either scrap the two pair, or keep it even if it's less likely. You are just unlucky you didn't get the joker, but it's still better than one or no pair. (Without flush or straight)>> <<@goatgamer001 says : The royal flush can be thought as a straight flush, so without jokers or other cards not present in a single 2-10, J,Q,K,A × ♥️,♦️,♣️,♠️ deck, there are nine hand types. The five of the kind is the highest ranking hand if it is possible. (it 5 card poker)>> <<@cparkrun says : The paradox, if i'm understanding correctly, is that if we assume 3oaK to be the higher ranked hand, that will cause players to interpret all hands containing one pair+joker as 3oaK (rather than 2 pair), which flips the order of scarcity. The thing is though... so what? We should allow that scarcity order to be flipped, because that is not the order that matters. The only thing that matters is the scarcity in our *opportunity* to make a hand from a well shuffled deck, not the scarcity in outcomes post-interpretation. If 2 pair becomes scarce only *because* we choose to discard it, that tells us nothing about how difficult it is to construct that hand from a well shuffled deck, which is the measure that should be tied to ranking. It is always harder to construct 3oaK than 2 pair from a well shuffled deck, even with a joker, so that is the hand that should rank higher.>> <<@Oldiesyoungies says : that's why people don't use a joker as a wild card,,,,they use it as a 'bug' it always counts as an ace, unless it is used to complete a 4straight or a 4flush>> <<@aeyvan says : Shrodingers Poker>> <<@MichaelSkinner-e9j says : You could actually teach statistics with a night of poker. You just have to keep track of every single hand, every player, Every movement. Just make sure people don’t lose their shirt, and don’t be a sore loser (or winner for that matter) -It’s best to play for fun, or no more than 10 or $20 (the cost of going to the movies) Always remember the goal is to just have fun and enjoy each other’s company. You’re not there to one up anybody. Just don’t forget the pizza, soda, movies, and video games👍>> <<@thesecretreviewer8242 says : i think the math is off a bit.>> <<@johnskrb says : You simply need to add the “one pair plus joker” combos to BOTH two pair and trips. It’s accurate and actually relevant in wild card variants of open face Chinese poker where you sometimes use a wild card to make a lower hand to fit within the 3-hand hierarchy.>> <<@RSDonovan says : Surely a hand including the joker should be ranked below a “natural” hand? Wouldn’t that sort the paradox out???>> <<@TheFinalChapters says : The paradox is easily solved by using the number of possibilities that yield each result *regardless* of higher ranks achieved. Really, this should have been done from the start, since it was only by chance that "high card" happened to have more possibilities than "one pair". But it would be silly to rank "high card" higher than "one pair", given every single instance of the latter also includes the former.>> <<@thundabird says : 5 of a kind isnt a real hand. your entire premise is immediately discarded because you're making up new hand ranks>> <<@ryewaldman2214 says : no. if you are looking for probabilities, you have to count ALL possibilities, not just "winning" or "the best" possibilities. see @kezzyhko's comment>> <<@keylimecookies says : I feel like no limit holdem with 1 single joker would go crazy and should be played>> <<@Mr.RueBean says : I think there's a fundamental problem, mathematically, with how the joker works. If the joker can be any card then you have a duplicate of each card in the deck, so instead of 52 cards you have 104 cards, but you are only adding a single additional card. (53 cards total) So 53=104. There lies your problem. How do you quantify one card that is also 52 different cards? Can someone resolve this? I'm not sure it's reasonably possible to play with a wildcard, go read all the comments, everyone has a solution to the paradox that doesn't actually work. Can anyone create a balanced play method while including the joker? Maybe instead of a joker being wild it could be better than an ace. Not sure how that would work out. Maybe the joker could mean you automatically have the worst hand. That would be a hilarious format. Seriously, someone make rules of poker that include a joker which would also be balanced!>> <<@VVeZoX says : By this theory, with a joker, there are zero possibilities of a 'high card' hand.>> <<@nosteinnogate7305 says : Why add "5 of a kind" as a new category but not e. g. "super royal flush" (10-2 suited) or "super straight"?>> <<@lojkas8924 says : One simple fix never play poker with jokers 😅😅😅>> <<@NotSoObvious says : What if we make the two pair and three of a kind holdings a single holding though of equal value 🤔>> <<@derekashby8547 says : Just take the total # of possibilities, three of a kind is still less likely with only 137k while 2pair has 205k. The only reason your saying it has less is because your choosing to make the best hand. It is still a possibility even if you don't choose it. Your welcome>> <<@elliot.2725 says : You also have to suppress all the Three of a Kind hands with Joker cause in that case you would transform the wild card to get a Four of a Kind>> <<@edwardmacnab354 says : just play the freakin game>> <<@sayan64 says : How to create a problem where there is no problem?>> <<@gniewomircioek6845 says : 5:22 why don't you simply treat this propability as it was highest hand? You are interested in how many ways you can achieve it and based on that you know how many ways is it.>> <<@matthewlee8725 says : You lost me at 5 of a kind. Surely a wild card can only be a card you haven't already got since you don't get two of the same card in regular poker. It makes no sense to play the other way. Is it an actual game and if so, who the hell is playing that nonsense?>> <<@uvdu says : Just make them worth equal. When you have 2 pairs 5599A for example, make it worth (5+9)/2=7 which is equal to 777AX for example>> <<@gwoody4003 says : Great video. Got my brain going. I play a lot of poker, it really illustrates how foolish chasing a straight can be. 😂 But.... This is all assuming the rules change to elevate 2 pair above 3 of a kind. Adding a wild card just gives you the opportunity to make a better hand... its not "part of the game" its a random bonus. You get to pick what it is, its not automatic. It just makes 2 pair by wild card a hand nobody would ever play cus why would you not pick the better hand? Unless you wanna be facetious vs a hand weaker than 2 pair just to be a goof... so nobody can say "nobody will ever play 2 pair wild" cus you just did. 😂 If you wanna be technical about it... and being 'technically correct' is the best kind of correct... having a joker in your hand at all makes it the least likely hand. There is only 1 in the whole deck. Nobody can have a better joker. 😅 The joker itself would be the god card. Wouldn't matter what anyone else has. You have the least probable hand. But the rules don't change when a wild card is added. The hand ranking stays the same, plus the addition of the 5 of a kind, which is considered the absolute nuts. Another interesting thing is, when a joker is in you hand, the absolute worst hand you can have is a pair of sixes. Which ends up having only 4 possible combos. You would have to have Joker 2, 3, 4, 6 rainbow (no flush possibility) or 2,4,5,6 2,3,5,6 ect... cus 2,3,4,5 Joker is a straight. You can't have worse than a pair of sixes... but the odds of getting a pair of sixes with a joker are the same as a royal flush. So 'worst possible wild hand' becomes the least likely. There are more 5 of a kind possibilities than the worst hand you can have with a joker. 🤔🤯 Man this was a good video... really got me thinking.>> <<@ThreeSixNine-r5r says : ........ There's no such thing as a "5 of a kind". Even with a Joker. You'd turn the Joker into an A, because 4 of a kind with an A, beats 4 of a kind with a K. The kicker plays. Right?>> <<@AhmedKhan-io7qk says : not really a paradox but okay>> <<@christian9540 says : You just adjust ranking probability not by a single but multiple probability sets and take some kind of avarage - problem solved. To say it is not possible is just false. It's not a paradox, it is just a self reference. Which is why it does not work if you just do it like that. But it's like you explain something with the word itself you are explaining. That is not a paradox but a self reference. You basically just tricked yourtself.>> <<@Laf-Adventures says : You would consider all options. even not the best option. therefore 3 of a kind > 2 pair. yap yap yap yap what a waste of my time>> <<@sekito2125 says : All so-called paradoxes are actually misapplication of logic usually by erroneous assumptions. in this case, the crux of the problem is that ‘the rank of the hands is based on knowing the rank of the hands in advance’ - since the rank is not known in advance, it could have been determined; therefore there is no paradox. The misapplication of logic occurs when the rank/order is assumed (three of a kind > two pair, visa versa) before the order of the hands is determined in the first place>> <<@tumunu says : Sorry to be a year late to this particular party, but I believe the mathematical reasoning in this video is faulty. It is not useful to count poker hands *after* you have decided what to do with the joker. What you need to do is count the cards you are dealt. As such there are 3 cases: A) two pair and no joker B) three of a kind and no joker C) one pair and the joker The ways you can make two pair are A) + C), and the ways you can make three of a kind are B) + C). Adding the same value, the value of C), to both sides of an algebraic inequality changes nothing. Case B) is still more rare than A) as we saw in the picture before we added the joker. Therefore three of a kind remains more rare and anyone getting case C) i.e. one pair and the joker should use it to make three of a kind, the higher hand. Algebraically, given A > B, therefore A + C > B + C.>> <<@ZantStudios says : 4:59, that doesn’t seem right, you still have the option to make a two pair. You're forcing a paradox which doesn’t need to exist,>> <<@idomoshemagic4395 says : damm thats amazing>> <<@4400marko says : That's why poker is played without a joker...>> <<@jakoblennon08 says : i never understood why two three of a kinds isnt a hand. its possible to get in normal poker and harder to get than a full house.>> <<@rootleft7928 says : video title: "poker"... video content: "some drivel about jokers">> <<@blackopal3138 says : Wtf is this? They teach this in schools? This is gobbledygook. I can't tell you how much poor logic is used, as well as flat out meaningless numbers. One clear example is that with a joker, the deck is 53 cards, but the math used is still the 52 card numbers. Also, it's not changing 2 pairs at all, it's changing 1 pair hands, and high card hands. Seriously, I can't believe the world is what it actually is, it's such a joke.>> <<@brandon0981 says : This isn't a paradox, lol>> <<@eq2lornick says : It's a rather absurd argument. It should simply be ranked by possibility, not what an intelligent person would choose to do with the joker. That would keep the order intact. Obviously no one in their right mind would have a two pair and a wild card and choose for the wild card to just be some random other card to keep the two pair intact, but they could and that is the important thing for ranking rarity.>> <<@nightterror8775 says : Now just imagine the probability when you play poker and get to swap out cards. I’d guess the possible combinations would rise to about 10^20>> <<@jiaminzhu3418 says : how about making two pairs and three of a kind the same level?>>