5 6 7 8 9 In Poker

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    • Jacks or Better
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  1. 5 6-7 8 9 In Poker
  2. What Is 5 6 7 8 9 In Poker

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Freeroll Championship# 2 😁 Last night was the second round of the Freeroll Championship and it's ′′ emines ′′ who wins this round against ′′ Vincent ' GG 😎 TOP10: 1 emines 15,75 2 Vincent 3 1TFDansMaVie 4 fyodor 8 hour 5 Outch. 86 6 Cpt America 7 FridAKahlo 8 Titinfm 9.

  1. 1.6.7 Winning Percentage with 9-x; 1.6.8 Winning Percentage with 8-x; 1.6.9 Winning Percentage with 7-x; 1.6.10 Winning Percentage with 6-x; 1.6.11 Winning Percentage with 5-x; 1.6.12 Winning Percentage with 4-x; 1.6.13 Winning Percentage with 3-x; 1.7 How I calculated these hand strength numbers; 1.8.
  2. This is a discussion on thoughts on playin 8/9 within the online poker forums, in the Learning Poker section; I see in freerolls everyone seems to play any 2 cards like 8/9 I see that alot.but is.

Introduction

The following video poker strategy is for 9/7/5 Double Bonus Poker.

5 6-7 8 9 In Poker

9/7/5 Double Bonus Poker

HandPayoff
Royal Flush800
Straight Flush50
Four Aces160
Four 2s/3s/4s80
Four 5s thru Ks50
Full House9
Flush7
Straight5
Three of a Kind3
Two Pair1
Jacks or Better1

To use the strategy, look up all of the reasonable ways to play a hand, and choose the play that is highest on the list. While optimal strategy returns 99.1065%, the strategy presented below is the optimal 'exceptionless' strategy, which returns 99.1012%.

5 6 7 8 9 In Poker
  1. Royal Flush
  2. Straight Flush
  3. 4 of a kind
  4. 4 to a Royal Flush
  5. 3 of a kind: Aces
  6. Full House
  7. Flush
  8. Straight
  9. 3 of a kind: 2s thru Ks
  10. 4 to a Straight Flush
  11. 1 pair: Aces
  12. 2 pair
  13. 4 to a Flush: 0, 2, or 3 high cards
  14. 4 to a Flush: 1 high card (Ace only)
  15. 3 to a Royal Flush: TJQ, JQK
  16. 1 pair: Js/Qs/Ks
  17. 3 to a Royal Flush: TJK/TQK, TJA/TQA/TKA/JQA/JKA/QKA
  18. 4 to a Flush: 1 high card (J, Q, or K only)
  19. 4 to a Straight: 2345, 3456, 4567, 5678, 6789, 789T, 89TJ, 9TJQ, TJQK
  20. 1 pair: 2s/3s/4s
  21. 3 to a Straight Flush: 9TJ, 9JQ
  22. 1 pair: 5s thru 10s
  23. 4 to a Straight: JQKA
  24. 3 to a Straight Flush: 345, 456, 567, 678, 789, 89T, 89J/8TJ, 8JQ, 9TQ, 9JK/9QK
  25. 4 to a Straight: 9JQK, TJQA/TJKA/TQKA
  26. 3 to a Flush: 2JK to 9KA, 6TA
  27. 2 to a Royal Flush: JQ, JK/QK, JA/QA/KA
  28. 3 to a Straight Flush: Ace-low, 234/235/245, 346/356, 457/467, 568/578, 679/689, 78T/79T
  29. 4 to a Straight: Ace-low, 89JQ/8TJQ, 9TJK/9TQK
  30. 3 to a Straight Flush: 78J/79J/7TJ, 89Q/8TQ, 9TK
  31. 3 to a Straight: TJQ, JQK
  32. 4 to a Straight: 789J/78TJ/79TJ, 89TQ
  33. 2 to a Royal Flush: TJ
  34. 2 to a Straight: JQ
  35. 3 to a Flush: 23J to 6TJ, 23Q to 7TQ, 28K to 8TK, 29A to 9TA except 6TA
  36. 2 to a Royal Flush: TQ
  37. 3 to a Straight Flush: 236/246/256, 347/357/367, 458/468/478, 569/579/589, 67T/68T/69T
  38. 3 to a Flush: 23K to 67K, 26A to 78A
  39. 2 to a Straight: JK/QK
  40. 1 high card: Ace
  41. 2 to a Royal Flush: TK
  42. 1 high card: J/Q/K
  43. 4 to a Straight: 2346/2356/2456, 3457/3467/3567, 4568/4578/4678, 5679/5689/5789, 678T/679T/689T
  44. 3 to a Flush: no high cards
  45. Discard everything

Card Key

Card Abbreviations

A 'high card' is a Jack, Queen, King, or Ace.


Written by:Michael Shackleford

In the standard game of poker, each player gets5 cards and places a bet, hoping his cards are 'better'than the other players' hands.

The game is played with a pack containing 52 cards in 4 suits, consisting of:

13 hearts:
13 diamonds
13 clubs:
13 spades:

♥ 2 3 4 5 6 7 8 9 10 J Q K A
♦ 2 3 4 5 6 7 8 9 10 J Q K A
♣ 2 3 4 5 6 7 8 9 10 J Q K A
♠ 2 3 4 5 6 7 8 9 10 J Q K A

The number of different possible poker hands is found by counting the number of ways that 5 cards can be selected from 52 cards, where the order is not important. It is a combination, so we use `C_r^n`.

5 6-7 8 9 in poker

The number of possible poker hands

`=C_5^52=(52!)/(5!xx47!)=2,598,960`.

Royal Flush

The best hand (because of the low probability that it will occur) is the royal flush, which consists of 10, J, Q, K, A of the same suit. There are only 4 ways of getting such a hand (because there are 4 suits), so the probability of being dealt a royal flush is

`4/(2,598,960)=0.000 001 539`

Straight Flush

The next most valuable type of hand is a straight flush, which is 5 cards in order, all of the same suit.

For example, 2♣, 3♣, 4♣, 5♣, 6♣ is a straight flush.

For each suit there are 10 such straights (the one starting with Ace, the one starting with 2, the one starting with 3, ... through to the one starting at 10) and there are 4 suits, so there are 40 possible straight flushes.

The probability of being dealt a straight flush is

`40/(2,598,960)=0.000 015 39`

[Note: There is some overlap here since the straight flush starting at 10 is the same as the royal flush. So strictly there are 36 straight flushes (4 × 9) if we don't count the royal flush. The probability of getting a straight flush then is 36/2,598,960 = 0.00001385.]

The table below lists the number ofpossible ways that different types of hands can arise and theirprobability of occurrence.

Ranking, Frequency and Probability of Poker Hands

HandNo. of WaysProbabilityDescription
Royal Flush

4

0.000002

Ten, J, Q, K, A of one suit.
Straight Flush

36

0.000015

A straight is 5 cards in order.
(Excludes royal and straight flushes.)
An example of a straight flush is: 5, 6, 7, 8, 9, all spades.
Four of a Kind

624

0.000240

Example: 4 kings and any other card.
Full House

3,744

0.001441

3 cards of one denominator and 2 cards of another. For example, 3 aces and 2 kings is a full house.
Flush

5,108

0.001965

All 5 cards are from the same suit.
(Excludes royal and straight flushes)
For example, 2, 4, 5, 9, J (all hearts) is a flush.
Straight

10,200

0.003925

The 5 cards are in order.
(Excludes royal flush and straight flush)
For example, 3, 4, 5, 6, 7 (any suit) is a straight.
Three of a Kind

54,912

0.021129

Example: A hand with 3 aces, one J and one Q.
Two Pairs

123,552

0.047539

Example: 3, 3, Q, Q, 5
One Pair

1,098,240

0.422569

Example: 10, 10, 4, 6, K
Nothing

1,302,540

0.501177

Example: 3, 6, 8, 9, K (at least two different suits)

Question

The probability for a full house is given above as 0.001441. Where does this come from?

5 6-7 8 9 in pokerWhat is 5 6 7 8 9 in poker

Answer

Explanation 1:

Probability of 3 cards having the same denomination: `4/52 xx 3/51 xx 2/50 xx 13 = 1/425`.

(There are 13 ways we can get 3 of a kind).

The probability that the next 2 cards are a pair: `4/49 xx 3/48 xx 12 = 3/49`

(There are 12 ways we can get a pair, once we have already got our 3 of a kind).

The number of ways of getting a particular sequence of 5 cards where there are 3 of one kind and 2 of another kind is:

`(5!)/(3!xx2!)=10`

So the probability of a full house is

`1/425 xx 3/49 xx 10 ` `= 6/(4,165)` `=0.001 440 6`

Explanation 2:

Number of ways of getting a full house:

`(C(13,1)xxC(4,3))` `xx(C(12,1)xxC(4,2))`

`=(13!)/(1!xx12!)` `xx(4!)/(3!xx1!)` `xx(12!)/(1!xx11!)` `xx(4!)/(2!xx2!)`

`=3744`

Number of possible poker hands

`=C(52,5)` `=(52!)/(47!xx5!)` `=2,598,960`

So the probability of a full house is given by:

`P('full house')`

What Is 5 6 7 8 9 In Poker

Poker

`='ways of getting full house'/'possible poker hands'`

`= (3,744)/(2,598,960)`

`=0.001 441`