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The Magic Poker Equation
"Guess I should have warned you — whenever I'm about to lose, I always draw exactly what I need!"
- Seto Kaiba, Yu-Gi-Oh

A law of probability which only exists in television and movie poker, and can be expressed thusly:

l = si

Where l = luck, s = skill and i = importance.

It describes the phenomenon in TV poker games whereby the better the poker player, or the more crucial the hand of poker being played, the better the players’ hands are.

In TV, the most talented poker players get threes of a kind, full houses, straights and flushes with remarkable frequency; it would seem that while real life poker savants are masters of risk management and psychological warfare, TV poker savants are masters of getting dealt good cards.

But even novice players can get full houses and flushes if the hand in question is an amazing climactic hand on which the plot hinges. When both factors are in play, the values of the hands hit the stratosphere – the best poker player in the world, playing the most important hand of his life, will probably beat a straight flush with a royal flush. In real life, he’d probably just beat two pair with a better two pair.

Related TV poker phenomena:
  • Even in unimportant hands with regular players, nobody ever has less than two pair. If the players ever do have just a pair (or lower), it’s because a point is being made of how bad/unlucky the player is, how good they are at bluffing, or how lame the game is.
  • In a game of three or more players, almost every hand is quickly whittled down to two players – usually the same two, time and time again.
  • The more important the hand, the closer together the values. A climactic hand will not be won by a straight flush over two pair; more likely it will be four kings over four queens.
  • Three of a kind/four of a kind is the only time it will come down to the value of the individual cards, except for the ‘royal flush beats straight flush’ cliché. You never see a full house with queens showing beating a full house with nines showing, or a jack-high flush beating a nine-high flush.
  • The person who puts their cards down first loses. Especially if they’ve got such a good hand they don’t even wait to see the other person’s cards before they start cackling and raking in their winnings. (See also: And The Winner Is...) Exception: the person puts their cards down and the other player concedes defeat without showing their own cards – because they’re throwing the game.
    • Corollary: This also applies when the player only shows his cards to the camera. As a general rule, you won't see the winning hand until it's played.
  • Basically, the amateur can often be seen beating "veterans" of the game. (Also see Bested At Bowling.) Well, poker is partly luck-based, but not that much.
    • Terry Pratchett's notice of this effect is in itself another Corollary: "When an obvious innocent sits down with three experienced card sharpers and says "How do you play this game, then?", someone is about to be shaken down until their teeth fall out." (from "Witches Abroad")
  • An amateur is playing against a veteran (often having been brought in so he can be squeezed for all he's worth). The veteran tosses his cards down, bragging about his great hand. The amateur remarks, "Gee, I've only got two pair. A pair of kings, and another pair of kings."
    • Made even more unrealistic by the fact that at some casinos your cards only count as what you claim them to be (It was originally started to prevent holdups and arguments over hands players miscounted, but ruins the "two pair" trope as well).
      • Although, nowadays the standard is "cards speak" (partly to cater to Vegas tourists, partly because cameras are recording everything but with no sound). Modern poker books often advise players to turn over their cards at all showdowns to prevent losing because you misread your hand.
  • Expert poker players who must be defeated by the hero always have a 'tell' (i.e a subconscious move they make when they are bluffing, or have a good hand). This 'tell' will usually be something so obvious that viewers are left wondering how the person in question got to be such an expert. Seems to happen more in drama than in comedy.
  • Poker in fiction is typically played for open stakes, meaning that when the hero's four-of-a-kind is up against the villain's straight flush, the hero will end up borrowing vast amounts of money to bet with, being forced to come up with a wacky scheme to repay the resulting debt. In real life, poker is always played for table stakes: you can only bet with the money you have at the table, and may only bring more to the table between hands.

Of course, this also appears in other games of chance, of which poker is just the most common. It also appears with Roulette and Craps (notably in the movie/play Guys And Dolls). If you have a Calvinball game, then this overlaps with Screw The Rules I Have Plot.
Examples:

Anime and Manga

  • It is the central trope of the anime Yu-Gi-Oh!, where skilled players have an uncanny ability to always draw the "only" card that will help them. (In the manga on which the series is based, this is explicitly a superpower of the main character, but in the anime it appears to be a function of skill and faith, particularly in the English dub by 4Kids).
    • Detailed in the manga is the semi-sentience of the 'spirit of the cards'. Play nobly, treat your cards well, don't sacrifice willy-nilly, be cool and your luck increases. Be a jerk, cheat, try to cheat, your luck goes spiraling downwards.
    • They've even turned it into a game mechanic in Tag Force 2; called "Destiny Draw", it can be assigned to up to 5 cards, and it only kicks in when you're about to lose.
    • Another example being the lovable Bandit "In America" Keith who uses a silly machine like thing to "cheat" the cards he wants into his hand. To review: using ancient Egyptian Artifacts to gain an advantage: okay. Using the anime equivalent of what appears to be an Apple Newton strapped to your card deck: not okay.
    • This is turned Up To Eleven at the climax of the duel against Noah, at which point Yugi has no cards in his hand or on he field and Noah has a 9900 (!!!) life point lead. Yugi draws just the right card: a card that lets him draw six more cards; those cards turn out to be just the right cards to execute a one-turn kill. The sequence can be seen here.
  • Subverted in manga series Et Cetra, where all but one of the poker games involve cheating through their teeth. To be fair, Baskerville only cheated to beat a cheater. Useing the same device as Bandit above, though with far more speed and successfulness.
  • Saki does this with Mahjong, fairly explicitly. Somewhat grating, as the actual probabilities are mentioned early on.
  • Yami No Matsuei at first subverts this with a hand in which the main character's body is his stake - which the main character loses. Then plays it straight when the main character's partner shows up just in time to win him back in the next hand. With a Royal Flush.
  • In Vandread, the cool and collected Gasgone is seen constantly beating the hotheaded Habiki at poker. Sadly, though she seems to do this through sheer luck, as the two of them get dealt more and more unlikely hands culminating in four aces an a joker! meaning either 5 of a kind or somebody screwed up the shuffle.

Comic Books

  • The proximity corollary of this Law is averted in the Hellboy story "The Vampire of Prague". The story itself is mostly a brawl between the titular vampire and Hellboy, but HB can't win the fight unless he can beat the vampire at poker. During the battle, Hellboy inadvertently comes across a handful of cards, while the vampire drops a hand of cards during the scuffle. Upon The Reveal, the vampire has a middle-of-the-road straight (which nearly was a straight flush), while Hellboy has a moderate full house. The two hands are pretty distinct, and either could have been beaten by rarer, more valuable hands.

Film

  • Casino Royale — at one point, James Bond is actually berated for not having magically held better cards. The climactic end of the poker tournament is on a hand where he holds the nuts: a 5-7 of spades which gives him a straight flush. (Bond, incidentally, has abused this trope a fair deal throughout the films; the number of times he's gotten exactly nine in baccarat defies statistical probability.)
    • Le Chiffre, the villain, apparently has a tell. This is then partially subverted when it's revealed that he was deliberately displaying it to goad Bond into betting high, and uses the trick to wash him out of the game altogether.
    • The movie also breaks the "no additions" rule earlier on, as Bond goads one of Le Chiffre's subordinates into betting his rare, valuable and expensive car. Which he promptly loses, because c'mon, he's playing against JAMES BOND.
    • The novel is, if anything, worse. Bond (playing baccarat) loses hand after hand, driving the stakes up until Bond is cleaned out. He then gets a 32 million franc bailout from Leiter and gets two nines (the first drawn after an initial 0, the second natural) to bankrupt Le Chiffre.
    • Bond's amazing luck with cards is mocked when he appears on The Simpsons in a deleted scene from "$pringfield". He is playing Blackjack against the villain...and Homer deals him a Joker. And then the "Rules for Stud Poker" card.
  • In Rounders, Teddy KGB, the villain, has a tell involving the way he eats Oreo cookies.
  • The Film Of The Series of Maverick plays with the trope throughout the film, as Bret Maverick is convinced that he can draw any card out of the deck at will. However, most of his attempts are completely unsuccessful until the end of the film, when he manages to draw the Ace of Spades he needs to complete his Royal Flush and win the poker tournament.
    • The final poker battle on the gambling ship at the end of the film is made of this trope. First, Maverick beats Annabelle by showing his cards, after she thought she won and already started collecting the winnings. Next, the final showdown between Maverick, Angel, and the Commodore. The Commodore shows his hand first: "Two small pair. Eights... and eights." Then Angel shows his hand, "See if you can beat my straight flush!" Maverick finally reveals his royal flush and wins it all, without saying a word. Also, a large part of the movie is of Annabelle trying to get Maverick to tell her his tells, and she ends up losing on the poker ship from the one tell he didn't let her know about.
      • Of course, that final hand was set up by a crooked dealer dealing from the bottom of the deck...but he had neglected to bury the card needed by Maverick...
  • In the first Austin Powers, Number Two hits on a 17 while playing blackjack in a Las Vegas casino, despite being advised to stand. Sure enough, his next card is a 4, making 21. Of course, he had X-Ray Vision from his Eyepatch Of Power, and could at least see the card. Austin then subverts the trope by trying to upstage Number Two's risky playstyle... he holds on 5. He loses.
  • In the 1998 version of The Parent Trap, there is exactly one poker game. It is resolved with a royal flush over a straight flush.
  • The Sting: The poker game on the train used to hook Lonnegan for the long con.
    • Of course, both players were cheating.
  • A Big Hand for the Little Lady - with an all star cast. Henry Fonda's a gambling addict in the Old West. In a high-stakes game he stresses himself into a heart attack after seeing his cards when he's almost out of money. His naive bride takes over and Hilarity Ensues. It was a con job with The Bluff to End All Bluffs.
  • Lock, Stock, and Two Smoking Barrels starts off with the protagonist being conned by a gangster that is using a spotter and a telegraph tapping morse code on his back. They violate the first rule of betting above, naturally.
    • Justified somewhat by the fact that three-card brag traditionally isn't played for table stakes; nonetheless, one would assume that most players would play with some kind of rule that eliminates the requirement to borrow money to stay in the hand.

Literature

  • In Terry Pratchett's Witches Abroad, Granny Weatherwax bests a card shark in Cripple Mr. Onion (a poker-like game played with the Discworld equivalent of a Tarot deck) through a combination of skill and deliberately, explicitly manipulating the above poker tropes. However, in "Maskerade", Granny Weatherwax's poker game against Death to save a child's life is a subversion. Granny has four queens, while Death has four aces. Death chooses to dismiss his hand as "just four ones". The cards came out like that because Granny cheated. She'd have had the four aces in her hand if Death hadn't had them switch. The trick here, is both of them wanted Granny to win (Death's got a soft spot for humanity); they just went through the pantomime because those were the rules.
  • Somewhat justified in Robert Asprin's Little Myth Marker, where hero Skeeve finds himself in a flashy high stakes poker challenge; he puts the entire stakes on the first hand without even looking at his cards. The twist being, as he explains to his opponent, he does so because he knows he doesn't have any outstanding skill at the game — but essentially reducing the game to a coin flip makes the skill gap irrelevant. But of course, he wins with a big flashy hand anyhow.
    • Then again, it's Dragon Poker, which Asprin probably got the idea for from watching Star Trek (anyone familiar with both series will think "Fizzbin" while reading the MYTH Adventures and "Dragon Poker" while watching the appropriate episode of Star Trek). Depending on the day, the hands that have already happened, where you're sitting compared to the other players, where you're sitting based on the compass, and any number of other factors, an otherwise unremarkable hand can wipe out a royal flush no problem. What got Skeeve into trouble was the fact that he had a fairly reasonable success rate playing as best he could and letting everyone else work out whether he'd won or lost the hand.
      • What he didn't realize until later was the dealer was cheating on Skeeve's behalf, as part of a larger scheme to infiltrate a literal Character Assassin into Skeeve's home.
  • The poker game in The Canary Murder Case has two rounds come down to high hands. Vance wanted to analyze the suspect's psychology, so he paid a card cheat to arrange for those big hands.
  • Used and subverted in Alexander Pushkin's story The Queen of Spades. The story concerns a young gambler who wishes to gain the secret of getting three good cards in a row from an elderly countess. After she refuses to tell him, he ends up threatening and frightening her to death, and is then visited by her in a dream with the secret. Wishing to marry his much wealthier sweetheart, he places all of his money on a bet and then loses everything when the final card turns out to be the wrong one. As this story was written in the 1830s, this trope is Older Than Radio.
  • In the Star Trek The Next Generation Expanded Universe novel "Dragon's Honor", Riker makes the mistake of introducing the game of poker to the natives (a race based upon traditional Asian values), including the heir to the planetary empire. Despite trying to throw the game as best he can, he ends up winning all of the valuables on the planet, including the planet itself.
  • In the Star Trek Deep Space Nine novel The Big Game, a poker tournament which lasts most of the book is decided on the final hand, in which Odo gets a royal flush. The chances of this happening, needless to say, are astronomically small.

Live Action TV

  • Whos The Boss?, "When Worlds Collide" shows Angela winning loads at poker early on, and Johnathan (Angela's kid) getting four aces in the epilogue.
  • I Love Lucy, when Lucy forces herself into a poker game of Ricky's, since she has just learned to play that very morning. She has no trouble convincing the regulars that she has a very good hand, and she wins when she doesn't even have a single pair.
  • Lottery - The representatives of the Intersweep Lottery deliver the prize money of a winner, but not before he put the ticket into the pot of a poker game. Now, with the true value of the ticket revealed, the other players refuse to allow it to be removed from contention. On the advice of the reps, the players agree to let the next winning poker hand settle the issue. As pure luck would have it, the purchaser of the lottery ticket pulls a miraculous royal flush to win the game.
  • A rare subversion comes in the 1980s Degrassi High. The cool kids invite nerdy, insecure Arthur to their poker party so they can take him for all he's worth. He's totally out of his depth — at one point, he asks, "does three of a kind beat a full house?" But he suddenly starts winning — including, of course, beating three of a kind with a full house. By the last hand, it's down to Arthur and the host — and Arthur wins almost all the money by bluffing when his hand is complete junk. The cool kids are amazed. Then comes the subversion: Arthur grins and says, "'Does three of a kind beat a full house?' You guys are so gullible."
  • Subverted in an episode of Angel, where Angel bets his soul to a demon on a single high card draw. His opponent gets a nine, and Angel... draws a three. He then switches to Plan B and chops the demon's head off before the bet can be claimed.
  • In an episode of Only Fools And Horses, a poker game between most of the recurring characters eventually comes down to Del and Boycie. Del insists Boycie is bluffing, and when Boycie raises the stakes beyond the agreed limit persuades all the others to throw in everything they've got. It transpires Boycie isn't bluffing, and Del only has two pair. He then waits for Boycie to start raking in the winnings before inevitably adding "A pair of aces, and... another pair of aces". The subversion comes when Boycie demands to how Del got four aces, and Del replies "Same place you got them kings. I knew you was cheating, Boycie, because that wasn't the hand I dealt you."
  • Done twice in an episode of Family Matters where Urkel and Lt. Murtaugh are playing poker with each other, both using the "All I have is two pair..." line (Murtaugh first with kings, and Urkel later in the episode with tens).
  • Subverted in Police Squad! During a poker game with the management of a boxer on the line, an undercover Drebin reveals his full house and starts to pick up the winnings. "Not so fast", one of the other players tells him. "I have a straight." Cue an argument about the rules of poker.
  • Played with in the old Twilight Zone poker episode, where both players are dealt implausibly good hands...except it's lowball, making them implausibly bad.
  • At once subverted and played straight in "An Echolls Family Christmas", a first-season episode of Veronica Mars. In The Teaser, a Texas Hold'Em game is down to a climactic final hand. Logan's hand could go well any number of ways with the cards on the table, though he still technically has nothing, with only the river remaining. When it comes time to reveal hands, Weevil's hand...isn't so impressive. As Logan notes, given the number of cards left in the deck, he can win with over thirty of them. And as the river is played, Weevil beats him with a pair of twos.
  • Played with on In The House; when inexperienced player Tonia joins Marion's game and promptly squeals "lookie here; a whole family"! The other players fold, only to learn that she's bluffing.
  • Sports Night: In "Shoe Money Tonight" Jeremy is supposed to be portrayed as an excellent poker player. The only skill he exhibits is his ability to get a straight on every single hand. Rule Of Funny is very much in play.

Newspaper Comics

  • In Pogo, the three bats (Bewitched, Bothered, and Bemildred) are often seen playing poker.
    Bewitched: I got four kings.
    Bothered: I got five — all hearts.
    Bemildred: One a' you is mus' be cheatin', 'cause I never had no kings of hearts in no deck of mine.
  • Parodied in a scene in Sovisa, where the other players have stopped playing in favor of watching Alexi and Travis, in one of their one-upsmanship bouts, both trying to out-cheat the other. Alexi opens with a royal flush in hearts, only to be countered by Travis' royal flush in spades. The dealer at this point, exclaims "OH COME ON! That's barely even physically possible!". Even more silly, is that cheating in cards is usually done by the one dealing, and it's quite difficult to do otherwise.

Tabletop Games

  • A term in the card game Magic The Gathering, mise, sometimes refers to the critical gamewinning card drawn at exactly the right moment, usually without the aid of tutoring or library manipulating effects (unless you mise the tutor spell and use that to extract your winning card). Mising is referred to a lot in tournaments by article-writing professionals. Some pros have the superstition that mising happens more often during dramatic moments.

Video Games

  • Spoofed in Kingdom Of Loathing: a special adventure encountered during a Bad Moon ascension run has your character winning a sizeable amount of money in a poker game, but then the other players complain about the use of the "complete newcomer wins the high-stakes card game despite not knowing the rules" cliche and the "two pair of aces" joke, then beat the crap out of you.
  • Subverted in part three of Jojos Bizarre Adventure. Jotaro, having never played a game of poker in his life, wins a game of poker against D'arby, an expert gambler, with not only his soul, but also the souls of his friend Polnareff and his grandfather Joseph as the stakes. Despite D'arby cheating to rig the hands, Jotaro manages to bluff him out of the game by not looking at his hand, making it look like he might have used his powers to change his cards, adopting his usual poker face, and then continually raising until the stakes were just too high for D'arby to risk calling on. After the game was over, Jotaro's hand was flipped over, and it was revealed that he had absolute crap.
    • ... And humorously admitted that if he had looked at his cards, he would've had a heart attack. Cue everyone yelling at him.
  • In Star Wars: Darth Bane: Path of Destruction: The titular character is playing Sabacc against a Republic ensign. They both get an Idiots Array (a two, three and an idiot) which would allow them both to win if the other hadn't gotten it. They both get a nine which was supposed to end the stalemate so Bane gets nine and the Ensign gets eight allowing Bane to win the hand and the pot.
  • Two plot deaths, one in Wing Commander II and one in Wing Commander IV, are signaled by the doomed NPC drawing a Dead Man's Hand (aces and eights, "Wild Bill" Hickock's hand when he was gunned down).
  • In Apollo Justice: Ace Attorney, Phoenix is accused of murdering a man over a game of Poker, which ended when both players had Full Houses, but Phoenix had a Pair of aces with 3 sevens, while the other had another pair of Aces and 3 kings.
    • This is, however, justified: it turns out that the dealer, Olga Orly, was cheating, and dealt out five aces intentionally - the actual cards in that hand were: Phoenix: Pair of aces with three sevens, Shadi: Three aces with a pair of kings. It's repeatedly pointed out that the chances of both players having full house are incredibly low, and thus the cheating is the only way it could happen.

Web Comics

  • Averted in the Sluggy Freelance arc "That Which Redeems" - Torg wins by bluffing when he only has one pair. Then again, that served another purpose - emphasizing the naiveté of the residents of the "Dimension of Lame."
  • Subverted in this Penny Arcade strip: Gabe, a complete tyro with a good hand, loses his shirt due to his complete ignorance of the rules and the twisted machination of Tycho.

Western Animation

  • Played strictly for laughs in the Bugs Bunny cartoon "Barbary Coast Bunny". The villain gets a full house, to which a dejected Bugs (disguised as a gullible country bumpkin) moans, "Gee, all I got is two pair. A pair of ones, and another pair of ones." He, of course, is referring to a Quad of aces, the second highest value hand in the rules of poker. Later, in "Bonanza Bunny", he decides to play a round of blackjack with only one card, and wins because he's drawn... the 21 of Spades.
  • Humourously subverted in an episode of The Real Ghostbusters: The Ghostbusters are pursuing the ghosts of four Old West desperados, and Peter gets snagged into a poker game with the four spirits. When it comes time to call, each of the ghosts produces two aces, two eights and a ten (the "dead man's hand"). Peter then produces four aces, whereupon the ghosts accuse him of cheating and draw their guns. Peter escapes and mutters how wise it was of him not to show them the fifth ace.
  • In a Peanuts cartoon episode, Snoopy held five aces including the "ace of anchors"
  • Spoofed in The Simpsons, where Fat Tony and an underling are playing cards, the underling reveals four queens, to which Tony counters with seven queens.
    • Also played straight when Krusty's four aces is beaten by Fat Tony's straight flush.
      • Though Krusty and Fat Tony broke the betting rule mentioned above by raising with violins, Rolexes, and whatnot. But it *is* a mob game, after all.
    • Spoofed some more when Mr. Burns wins a basketball team and millions of dollars in a single hand...which he wins with a nine-high. His opponent had a seven.

Web Original

  • Sooni from Tales Of MU tries to invoke this law by telling Mack (the protagonist) to draw first. It kind of works; Mack draws a king and Sooni draws an ace, but with a shout of "Nobody did ever say aces were high" from the audience, all hell breaks loose.

Real Life

  • And, quite obviously, not truth in television. Well, the part about luck may or may not be—there have been some times where the final hand of the World Series of Poker has seen a player win with worse pocket cards (e.g. 1979, when 7-6 off-suit defeated pocket aces). Most notably, 2005, when Joe Hachem won with 7-3 off-suit. (In fairness, he flopped a straight—another subversion of this, as if this were television/movie poker, he wouldn't have hit that straight until the river, although his opponent would've still paired his ace on the turn. Come to think of it, that turn was most of what made it the final hand...
    • On the other hand, the 1 in a very large number combination of four aces vs. a royal flush did happen at the WSOP in 2008...but it was very early in the tournament, and neither player went on to win.
      • And it was hold'em, not draw poker. By definition, in draw poker, if someone has all the aces, nobody can get a royal flush.
  • This troper was once dealing for a house game of Hold'Em; the final board came down Q-A-K-10-A, and Q-Q lost to K-K.
    • Another home game, another crazy hand. Eight players, no one folded before the flop. Flop comes out A-A-A. Holder of the fourth ace pulled a slow play, cleaned out half the table on the turn and the river. Protip: If someone says "Lets Gamble," they're holding quad aces - fold unless you've got a straight flush. (This game happened before the 2008 WSOP match linked above)
    • In a movie, someone else would've held the right jack for a Royal Flush.