[SS] Stan the Stat loved lists almost as much as he loved numbers. His favorite Go-Go’s song? “Girl of 100 Lists”.^{1} Slacker. Stan had created that many by the time he was seven years old. So it was no surprise when he proudly unveiled his latest list of numbers, **Texas Hold ‘Em Odds from 1 to 52**. “One for each card in the deck”, Stan boasted. “Of course, I had several choices for many of the odds, so I tried for variety. By coincidence, the last one stumped me the longest time.”

A♠ | 1 to 1 | Odds of finishing with a pair on the river with unpaired hole cards | 1.08 to 1 | 48.15% |

A♥ | 2 to 1 | Odds of improving from 3-of-a-kind to a full house or quads on the turn or river | 1.99 to 1 | 33.40% |

A♦ | 3 to 1 | Odds of being dealt suited cards | 3.25 to 1 | 23.53% |

A♣ | 4 to 1 | Odds of hitting a flush draw on the river | 4.11 to 1 | 19.57% |

K♠ | 5 to 1 | Odds of being dealt connectors | 5.38 to 1 | 15.69% |

K♥ | 6 to 1 | Odds of being dealt at least one Ace | 5.70 to 1 | 14.93% |

K♦ | 7 to 1 | Odds of hitting a 3-outer on the turn or river | 7.01 to 1 | 12.49% |

K♣ | 8 to 1 | Odds of flopping a flush draw with suited cards | 8.14 to 1 | 10.94% |

Q♠ | 9 to 1 | Odds of flopping an 8-out straight draw from max connectors (JT-54) | 8.57 to 1 | 10.45% |

Q♥ | 10 to 1 | Odds of being dealt two cards that are Jacks or higher | 10.05 to 1 | 9.05% |

Q♦ | 11 to 1 | Odds of filling an inside straight draw on the turn | 10.75 to 1 | 8.51% |

Q♣ | 12 to 1 | Odds of not flopping an overcard with pocket Sevens | 11.73 to 1 | 7.86% |

J♠ | 13 to 1 | Odds of being dealt 2-gappers | 12.81 to 1 | 7.24% |

J♥ | 14 to 1 | Odds of hitting a 3-outer on the river | 14.33 to 1 | 6.52% |

J♦ | 15 to 1 | Odds of completing a flush by the river with suited cards | 14.63 to 1 | 6.40% |

J♣ | 16 to 1 | Odds of being dealt a pocket pair | 16.00 to 1 | 5.88% |

10♠ | 17 to 1 | Odds of being dealt unsuited 2-gappers (e.g., 85o) | 17.42 to 1 | 5.43% |

10♥ | 18 to 1 | Odds of a monochromatic flop | 18.32 to 1 | 5.18% |

10♦ | 19 to 1 | Odds of beating KK with K2 offsuit (suit dominated, the worst all-in preflop matchup) | 18.69 to 1 | 5.08% |

10♣ | 20 to 1 | Odds of being dealt connected cards, 10 or higher | 19.72 to 1 | 4.83% |

9♠ | 21 to 1 | Odds of being dealt a pair of Fives or better | 21.10 to 1 | 4.52% |

9♥ | 22 to 1 | Odds of hitting a backdoor straight (e.g., from 876) | 21.52 to 1 | 4.44% |

9♦ | 23 to 1 | Odds of hitting a backdoor flush | 23.02 to 1 | 4.16% |

9♣ | 24 to 1 | Odds of a single opponent with random hole cards having quads on a 3-of-a-kind flop | 24.00 to 1 | 4.00% |

8♠ | 25 to 1 | Odds of being dealt any suited connectors | 24.50 to 1 | 3.92% |

8♥ | 26 to 1 | Odds of making a straight or better on the turn with random hole cards | 26.15 to 1 | 3.68% |

8♦ | 27 to 1 | Odds of making 3-of-a-kind by the turn with random hole cards | 26.81 to 1 | 3.60% |

8♣ | 28 to 1 | Odds of a 3-card straight flop | 27.78 to 1 | 3.48% |

7♠ | 29 to 1 | Odds of being dealt suited 2-gappers | 29.14 to 1 | 3.32% |

7♥ | 30 to 1 | Odds of the board having no overcards by the turn with pocket Sevens | 30.48 to 1 | 3.18% |

7♦ | 31 to 1 | Odds of the board having no overcards by the river with pocket Eights | 31.21 to 1 | 3.10% |

7♣ | 32 to 1 | Odds of being dealt suited cards Tens or higher | 32.15 to 1 | 3.02% |

6♠ | 33 to 1 | Odds of hitting a backdoor half-inside straight (e.g., 976) | 32.78 to 1 | 2.96% |

6♥ | 34 to 1 | Odds of hitting a backdoor flush to chop the pot when your opponent flops the worst flush (e.g., holding 32s) | 34.36 to 1 | 2.83% |

6♦ | 35 to 1 | Odds of making a full house or better on the river with random hole cards | 34.71 to 1 | 2.80% |

6♣ | 36 to 1 | Odds of nobody holding an Ace, King, or Queen at a 6-handed table | 35.94 to 1 | 2.71% |

5♠ | 37 to 1 | Odds of flopping an 8-out straight draw from 3-gappers | 37.28 to 1 | 2.61% |

5♥ | 38 to 1 | Odds of making a full house on the river with random hole cards | 37.52 to 1 | 2.60% |

5♦ | 39 to 1 | Odds of improving a pair to a full house on the turn and river | 39.04 to 1 | 2.50% |

5♣ | 40 to 1 | Odds of being dealt a weak suited Ace (A9s-A2s) | 40.44 to 1 | 2.41% |

4♠ | 41 to 1 | Odds of hitting a 1-outer on the river when three players are all-in (e.g., QQ vs. KK vs. AA on AKQ2 board) | 41.00 to 1 | 2.38% |

4♥ | 42 to 1 | Odds of making exactly Jack high on the turn with random hole cards | 42.28 to 1 | 2.31% |

4♦ | 43 to 1 | Odds of being dealt a pair of Tens or better | 43.20 to 1 | 2.26% |

4♣ | 44 to 1 | Odds of flopping a four flush holding unsuited cards | 43.55 to 1 | 2.24% |

3♠ | 45 to 1 | Odds of hitting an inside straight flush draw on the river | 45.00 to 1 | 2.17% |

3♥ | 46 to 1 | Odds of being dealt max stretch suited connectors (JT-54) | 46.36 to 1 | 2.11% |

3♦ | 47 to 1 | Odds of hitting a runner-runner 1-gap straight flush or a full house/quads missing three board outs (e.g., 8d8h vs. Ad5d + Jd9d2d [Jh, 9h, 2h mucked]) | 46.83 to 1 | 2.09% |

3♣ | 48 to 1 | Odds of flopping two pairs using both unpaired hole cards | 48.49 to 1 | 2.02% |

2♠ | 49 to 1 | Odds of at least one player holding 4-of-a-kind or better if 10 players make it to the river | 49.21 to 1 | 1.99% |

2♥ | 50 to 1 | Odds of an opponent holding a pair of Aces when you have an Ace at a 9-handed table | 50.04 to 1 | 1.96% |

2♦ | 51 to 1 | Odds of making a flush or better by the turn with random hole cards | 51.43 to 1 | 1.91% |

2♣ | 52 to 1 | Odds of hitting a runner-runner full house or quads missing one hole out (e.g., 88 vs. A7s vs. + QT2s [8 mucked])^{2} |
51.56 to 1 | 1.90% |

[SS] “Plenty of Google hits for ’52 to 1′ too.”

[RR] “But they all really meant ‘1 in 52′, or ’51 to 1’?” Roderick the Rock surmised.

[SS] “Exactly right. I almost gave up and changed the list to go from ‘1 in 1’ to ‘1 in 52’, but I hated having the pointless ‘1 in 1’ (‘Odds of there being an error in this list’?). I ended up calculating dozens of runner-runner outs until I found one that worked.”

#### Footnotes:

- Track three on the Go-Go’s 1982 album
*Vacation*was somehow never released as a single ;-). Jane Wiedlen’s lists included: “things I love”, “what shall I wear”, “who have I kissed”, and “things I must get done today”. - Added missing 52 to 1 odds on July 7, 2014.

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