# Poker Probability Flush Draw

5 card poker probabilities if one “Pai Gow” (“Bug”) Joker is added to the deck A “Pai Gow” (“Bug”) Joker is partially wild. If you are using it to complete a straight and/or a flush, it is an ordinary wild card. If you are using it for pairs, 3-of-a-kind, etc., it is forced to be an Ace. So the probability to get the flush on the turn is: 9 outs / 47 possible cards = 0,19 = 19% 4 to 1. The probability is called odds. In Texas Hold'em, odds are regularly given in the notation 'x to y'.

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### Poker Probability Flush Drawing

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One of the great features of video poker is the fact that the odds of each hand being dealt are the same on every machine (Games with 52 cards of course have different odds to those with 53). While the pays for the wins change the chances of getting the wins do not. Below we list the odds of many hands being dealt pat and the odds of winning on the draw for a 52 card game.

## Initial Deal Odds

The table below shows the odds of getting any winning hand on the first five cards dealt on a game using 52 cards. Odds change if you are playing a game with an additional wild card such as Jokers Wild as there are 53 cards.

 Hand Odds Hand Odds Royal Flush 1 in 649740 Straight : 1 in 255 Straight Flush : 1 in 72193 Three of a Kind : 1 in 47 Four of a Kind : 1 in 4165 Two Pairs : 1 in 21 Full House : 1 in 694 Pair J, Q, K or A 1 in 7.69 Flush : 1 in 509 Any Pair 1 in 2.37

## Odds On The Draw

As much as we would all like to see a pat hand dealt every time we hit the max bet button this is rarely the case. In reality less than 1% of hands played will result in you holding all five where over 60% of hands you will hold just two cards going into the draw. Knowing this lets look at some examples.
The table below shows the odds of getting a particular hand when holding one, two, three or four cards. Of course you have to be holding the right cards for the odds to be correct. For example for cards to a royal is made up of four suited cards in the 10 to Ace range. Four to a flush is four suited cards etc.
##### Royal Flush Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 178,3651 in 16,215 1 in 1081 1 in 47
##### Straight Flush Draw *
Hold 1 Hold 2Hold 3 Hold 4
1 in 59,4551 in 8,1071 in 360 1 in 47
##### Four of a Kind Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 3,4301 in 3601 in 23.24n/a
##### Full House Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 619 1 in 98 1 in 16 n/a
##### Flush Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 3611 in 991 in 26 1 in 5
* The straight flush section has several variations that can change the odds that are displayed. These are primarily and inside draw or an outside draw. For example if you have 5h, 6h, 7h, 8h there are two ways to make the straight flush - either a 4h or a 9h will do it. However if you have an inside draw you have for example 2d, 3d, 5d, 6d. In this case only one card can make the hand (4d).
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