# Video Poker

Video Poker (similar to Jacks or Better) is a game where in the first turn 5 cards will be drawn and the player can then choose to redraw any of these 5 cards on their second (last) turn. Since the redraw and thus the outcome depends on the player's input, the player should understand the game and otherwise decreases their chances of winning. The player can win by combining cards and making specific poker hands. Read more about Video Poker and an explanation on poker hands.

There are 52 cards in a deck, thus the probability of hitting one specific card is 1.923% (

`100/52`

). A player receives 5 cards and can choose to redraw either of those, thus the player has 32 total combinations of playing a specific hand (`2^5=32`

). There are 9 hands that give a payout and can be achieved through several combinations. The hands have the following probabilities and multipliers:Outcome | Combinations | Probability | Multiplier |
---|---|---|---|

Royal Flush | 26,529,694 | 0.0016% | 100x |

Straight Flush | 172,142,759 | 0.01036% | 50x |

Four of a Kind | 3,894,667,337 | 0.23446% | 30x |

Full House | 18,948,816,693 | 1.14074% | 8x |

Flush | 19,698,441,627 | 1.18587% | 6x |

Straight | 25,304,047,279 | 1.52333% | 5x |

Three of a Kind | 121,441,079,723 | 7.31087% | 3x |

Two Pairs | 210,032,363,727 | 12.64415% | 2x |

Jacks or Better | 343,085,127,609 | 20.65406% | 1x |

Other | 918,499,326,652 | 55.29456% | 0x |

Total | 1,661,102,543,100 | 100% | - |

The multipliers can be verified in the Video Poker contract at the first number displayed after

`return`

:return (100, 9); // royal flush

return (50, 8); // straight flush

return (30, 7); // four of a kind

return (8, 6); // full house

return (6, 5); // flush

return (5, 4); // straight

return (3, 3); // three of a kind

return (2, 2); // two pairs

return (1, 1); // jacks or better

return (0, 0); // less than a pair of jacks

The average return is calculated at 0.994445.

You can use this Video Poker Analyser to verify the return: Standard Video Poker -> Jacks or Better -> input all the multipliers correctly in the Prize column and change wager coin to 1 -> Analyze. You can also use this https://www.beatingbonuses.com/vp_pay.php.

The house edge is incorporated in the multiplier. With the return being 0.994445, the house edge is 0.5555% (

`(1-0.994445)*100`

).The above leads to the following odds for Video Poker:

Odds | Outcome |
---|---|

Decimal odds | 0.994445 |

Return to Player | 99.4445% |

Player odds | 49.72225% |

Last modified 1yr ago