As you probably know Badugi is often referred to as gamblers game but in reality this couldn’t be further from the truth. While you may be used to playing Hold’em & Omaha you’ve probably realised you are rarely a huge favourite in a hand while other players are still drawing, but in Badugi this isn’t the case.
As poker players we should always know our odds within the games we play, it is in fact one of the many key skills needed to be a winner. We should know when to raise and when to fold, when we have the best of it and when our odds just don’t add up. Strong poker players will know the right moves to make and with the aid of this article you too can learn these skills.
If you haven’t already please read our Badugi Rules article to explain how a game of Badugi is dealt.
When we are calculating our odds we need to work out how many cards we have to make a winning hand. As an example if we have the cards we have 10 cards we can hit to make a Badugi, from the to the Kc. These cards are called outs.
We also need to know how many cards are in the deck that will not improve our hand. These are called non-outs. To calculate non-outs we simply subtract the amount of cards we have seen away from the amount of cards we haven’t seen in the deck.
We have also have 3 draws in Badugi so we need to work out our odds of hitting our outs over the 3 draws combined:
The 1st Draw
Formula for 1 draw
It is the first round and we are dealt Ac for this example we will assume we need a jack high Badugi to win the hand.
Our first step is to count how many outs we have to make our hand. We will be discarding the Ac and hoping to redraw one of the remaining clubs below a jack, either of the , , , , , or will do so we have 7 outs.
How many non-outs are there? We have seen the 4 cards we have in our hand. Subtract this number from the 52 cards left in the deck and we are left with 48 outs.
Non-Outs: 48 / Out 7 = 6.85
We have worked out our odds of hitting our hand on the first draw, if we want to work out our draw equity in percentage form just divide 100 by our odds: 100 / 6.85 = 14.5%
Since we are calculating our odds over the 3 draws we will also need to work out our chances of missing this draw. Thankfully this is easy we just subtract the odds of hitting from 100 which equals 100% – 14.5% = 85.5%
The 2nd Draw
This gets slightly harder but we can work it out we still have our original 7 outs but now we have seen 5 cards. So our non-outs will change very slightly.
Non-outs: (52 – 5) = 47 / 7 = 6.71
Odds of hitting draw in this round equals 6.71/1 or in percentage form its 14.9%.
Odds of missing this draw is 100% – 14.9% = 85.1%
The 3rd Draw
This gets slightly harder but we can work it out we still have our original 7 outs but now we have seen 6 cards. So our non-outs will change very slightly.
Non-outs: (52 – 6) = 46 / 7 = 6.57
Odds of hitting draw in this round equals 6.57/1 or in percentage form its 15.2%.
The 3 draws combined
= (14.5%) + (85.5%) * (14.9%) + (85.5%) * (85.1%) * (15.2%) = 0.38%
As we can see our combined odds of making our jack high Badugi over the 3 draws is 38%
Badugi Odds Chart
This should be self-explanatory to use, just count your outs, the number of draws then look up the chart. Examples: