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Bonus Poker

Introduction

This page shows my strategy for 8/5 Bonus Poker. With optimal strategy, the expected return of 8/5 Bonus Poker is 99.17%. Often, 8/5 Bonus Poker is the best available video poker game in a given casino, so it is a valuable strategy to know. The following table shows the probability and return for each hand.

"8/5" Bonus Poker — 99.17%

Hand Payoff Combinations Probability Return
Royal flush 800 495443136 0.000025 0.019884
Straight flush 50 2129604264 0.000107 0.005342
4 aces 80 3903775812 0.000196 0.015667
4 2-4 40 10509866328 0.000527 0.021090
4 5-K 25 32688417336 0.001640 0.040997
Full house 8 229516869924 0.011514 0.092114
Flush 5 216873645000 0.010880 0.054400
Straight 4 223676319912 0.011221 0.044885
3 of a kind 3 1484391167856 0.074468 0.223405
Two pair 2 2577523603752 0.129308 0.258616
Jacks or better 1 4290810981444 0.215259 0.215259
Nothing 0 10860710822436 0.544855 0.000000
Total   19933230517200 1.000000 0.991660

Conflict Hands

The following list shows common difficult hands and how to play them. Some of these rules have exceptions, which are listed under Exceptions below the strategy table.

Definitions:
  • High Card = Jack, Queen, King or Ace
  • Straight Flush draw (type 1) = Straight flush draw where high cards minus gaps >= 1 .
  • Straight Flush draw (type 2) = Straight flush draw where high cards minus gaps = 0 .
  • Straight Flush draw (type 3) = Straight flush draw where high cards minus gaps = -1, all ace-low draws, and 2-3-4 suited.
  • Straight Flush draw (type 4) = Straight flush draw with two gaps and no high cards.
  • 4 to an outside straight = four consecutive cards from 2-3-4-5 through 10-J-Q-K (2-3-4-5 counts as outside; J-Q-K-A and A-2-3-4 do not).
Difficult hands:
  1. K Q J T 9 — Straight flush or 4 to a royal flush: Keep the Straight Flush
  2. A K Q J T — 4 to a royal flush or Straight: Keep 4 to a royal flush
  3. A K J T 9 — 4 to a royal flush or Flush: Keep 4 to a royal flush
  4. A K Q J J — 4 to a royal flush or High pair: Keep 4 to a royal flush
  5. A 2 3 4 5 — Straight or 4 to a straight flush: Keep the straight
  6. A K Q J T — Straight or 3 to a royal flush: Keep the straight
  7. T T T J Q — Three of a kind or 3 to a royal flush: Keep Three of a kind
  8. Q J T 9 Q — 4 to a straight flush or High pair: Keep 4 to a straight flush
  9. 9 T J Q 2 — 4 to a straight flush or 3 to a royal flush: Keep 4 to a straight flush
  10. K K Q Q J — Two pair or 3 to a royal flush: Keep the two pair
  11. A K K Q 3 — High pair or 3 to a royal flush: Keep High pair
  12. 3 7 9 J J — High pair or 4 to a flush: Keep High pair
  13. K Q J T J — High pair or KQJT unsuited: Keep High pair
  14. 2 A Q T 4 — 3 to a royal flush or 4 to a flush: Keep 3 to a royal flush
  15. T J Q K 8 — 3 to a royal flush or 4 to an outside straight: Keep 3 to a royal flush
  16. Q J T T 3 — 3 to a royal flush or Low pair: Keep 3 to a royal flush
  17. A K Q J 9 — 3 to a royal flush or AKQJ unsuited: Keep 3 to a royal flush
  18. 3 7 9 T T — 4 to a flush or Low pair: Keep 4 to a flush
  19. 2 5 6 7 T — 4 to a flush or 3 to a straight flush (any type): Keep 4 to a flush
  20. K Q J T T — KQJT unsuited or Low pair: Keep KQJT unsuited
  21. K Q J T 8 — KQJT unsuited or 2 suited high cards: Keep KQJT unsuited
  22. K Q J T 2 — KQJT unsuited or JT suited: Keep KQJT unsuited
  23. K Q J T 7 — KQJT unsuited or KT, QT suited: Keep KQJT unsuited
  24. 6 7 8 9 9 — Low pair or 4 to an outside straight: Keep Low pair
  25. 9 9 T J 4 — Low pair or 3 to a straight flush (any type): Keep Low pair
  26. K Q J 9 9 — Low pair or 4 to an inside straight with 3 high cards: Keep Low pair
  27. 8 9 T J 3 — 4 to an outside straight or 3 to a straight flush (any type): Keep 4 to an outside straight
  28. A K Q J 5 — AKQJ unsuited or 2 suited high cards: Keep AKQJ unsuited
  29. K J 3 4 5 — 2 suited high cards or 3 to a straight flush (type 2, 3, or 4): Keep 2 suited high cards (see Exception 1)
  30. K Q J 9 7 — 2 suited high cards or 4 to an inside straight with 3 high cards: Keep 2 suited high cards
  31. K Q J 7 5 — 2 suited high cards or Unsuited JQK: Keep 2 suited high cards
  32. 3 4 5 J Q — 3 to a straight flush (type 2) or two unsuited high cards: Keep 3 to a straight flush (type 2)
  33. 3 4 5 T J — 3 to a straight flush (type 2) or JT suited: Keep 3 to a straight flush (type 2)
  34. 8 9 J Q K — 4 to an inside straight with 3 high cards or 3 to a straight flush (type 3): Keep 4 to an inside straight with 3 high cards
  35. 7 8 J Q K — Unsuited JQK or 3 to a straight flush (type 3): Keep Unsuited JQK
  36. A 2 3 J Q — Unsuited JQ or 3 to a straight flush (type 3): Keep Unsuited JQ (see Exception 5)
  37. 2 4 T J Q — Unsuited JQ or JT suited: Keep Unsuited JQ
  38. J Q 2 4 6 — Unsuited JQ or 3 to a straight flush (type 4): Keep Unsuited JQ
  39. A 3 5 K Q — 3 to a straight flush (type 3) or KQ, KJ unsuited: Keep 3 to a straight flush (type 3) (see Exception 6)
  40. A 3 5 J T — 3 to a straight flush (type 3) or JT suited: Keep 3 to a straight flush (type 3) (see Exception 7)
  41. K J T 8 3 — KJ unsuited or JT suited: Keep KJ unsuited (see Exception 3)
  42. A K Q 8 6 — KQ, KJ unsuited or AK, AQ, AJ unsuited: Keep KQ, KJ unsuited
  43. K J 2 4 6 — KQ, KJ unsuited or 3 to a straight flush (type 4): Keep KQ, KJ unsuited
  44. K Q T 7 3 — KQ, KJ unsuited or KT, QT suited: Keep KQ, KJ unsuited
  45. J T A 5 7 — JT suited or AK, AQ, AJ unsuited: Keep JT suited (see Exception 4)
  46. J T 2 4 6 — JT suited or 3 to a straight flush (type 4): Keep JT suited
  47. A K 2 4 6 — AK, AQ, AJ unsuited or 3 to a straight flush (type 4): Keep AK, AQ, AJ unsuited
  48. A Q T 8 4 — AK, AQ, AJ unsuited or KT, QT suited: Keep AK, AQ, AJ unsuited
  49. A 2 4 6 9 — Ace or 3 to a straight flush (type 4): Keep Ace
  50. 2 3 4 Q T — 3 to a straight flush (type 3) or KT, QT suited: Keep 3 to a straight flush (type 3)
  51. 2 3 4 J 7 — 3 to a straight flush (type 3) or Jack, Queen or King: Keep 3 to a straight flush (type 3) (see Exception 10)
  52. K T 2 4 6 — KT, QT suited or 3 to a straight flush (type 4): Keep KT, QT suited
  53. K 3 5 7 9 — Jack, Queen or King or 3 to a straight flush (type 4): Keep Jack, Queen or King

Traditional Strategy Table

The following list shows the value of each type of hand on the deal, in order from best to worst. To play a difficult hand, look up all viable ways to play it on the list, and play the highest one, except in the situations listed under Exceptions below.
  1. Four of a kind, straight flush, royal flush
  2. 4 to a royal flush
  3. Straight, flush, full house
  4. Three of a kind
  5. 4 to a straight flush
  6. Two pair
  7. High pair
  8. 3 to a royal flush
  9. 4 to a flush
  10. KQJT unsuited
  11. Low pair
  12. 4 to an outside straight
  13. 3 to a straight flush (type 1)
  14. AKQJ unsuited
  15. 2 suited high cards
  16. 3 to a straight flush (type 2)
  17. 4 to an inside straight with 3 high cards
  18. Unsuited JQK
  19. Unsuited JQ
  20. 3 to a straight flush (type 3)
  21. KQ, KJ unsuited
  22. JT suited
  23. AK, AQ, AJ unsuited
  24. Ace
  25. KT, QT suited
  26. Jack, Queen or King
  27. 3 to a straight flush (type 4)
  28. Discard everything

Exceptions

The following exceptions override the strategy table. With them, the strategy is optimal, returning 99.17%.

  1. 2 suited high cards vs. 3 to a straight flush (type 2): Hold the straight flush draw if (a) the draw contains both high cards (8-J-Q, 9-J-K, or 9-Q-K); or (b) the high cards include an ace, unless the draw is 3-4-5, or the high cards are A-J and the draw is 7-8-9; or (c) the high cards are K-Q and the draw is 8-9-J.
  2. Hold 8-J-Q suited over A-K-Q-J unsuited.
  3. KJ unsuited vs. JT suited: Hold JT suited if neither of the other two cards is an 8, a 9, or the same suit as the JT.
  4. JT suited vs. AJ unsuited: Hold AJ if one of the other two cards is the same suit as the JT and the other is a 7, 8, or 9.
  5. Unsuited JQ vs. 3 to a straight flush (type 3): The fifth card is the card that is neither in the draw nor the queen. Hold 7-8-J or 7-9-J suited if the fifth card is an ace. Hold 7-10-J suited if the fifth card is a 2 through 6.
  6. 3 to a straight flush (type 3) vs. KJ unsuited: Hold KJ with 7-8-J suited plus a 9 or 10; with 7-9-J or 7-10-J suited plus an 8; or with 7-8-10 or 7-9-10 suited plus an unsuited J.
  7. Hold JT suited over 2-3-4, 2-3-5, 2-4-5, 3-4-6, 3-5-6, 4-5-7, 4-6-7, or 6-7-9 suited.
  8. Hold AK, AQ, or AJ unsuited over 2-3-4, 2-3-5, or 2-4-5 suited.
  9. A type 3 straight flush draw with an ace and a card below a jack: Hold the ace alone if the draw is 2-3-4, 2-3-5, or 2-4-5 and the other card is a 6, or a 7 through 10 not of the ace's suit. Also hold the ace alone if the other card is not of the ace's suit and the draw and card are: 3-4-6 or 3-5-6 with a 2 or 7; 4-5-7 or 4-6-7 with a 3 or 8; 5-6-8 or 5-7-8 with a 4 or 9; 6-7-9 or 6-8-9 with a 5 or 10; or 7-8-10 or 7-9-10 with a 6.
  10. A type 3 straight flush draw with a jack and a card below a jack: Hold the jack alone if the other card is not of the jack's suit and the draw and card are: 2-3-4, 2-3-5, or 2-4-5 with a 6; 3-4-6 or 3-5-6 with a 2 or 7; 4-5-7 or 4-6-7 with a 3 or 8; or 5-6-8 or 5-7-8 with a 4. Also hold the jack alone if the draw is 7-8-10 or 7-9-10 and the other card is a 6 of any suit.
  11. Hold the king alone instead of K-10 suited if one of the other three cards is the same suit as the K-10.

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