# Short deck probability

Short deck is remove 2-5 so 36 cards left. A6789 is a straight.

What is the hand order and probability.

For example a flush is harder to make but a straight is easier.

Ideally post the equations for probability.

## 1 Answer

Number of possible 5 card hands 376,992

``````               count    fraction  cumulative
straight flush    24  0.00006366  0.00006366
quads            288  0.00076394  0.00082760
flush            480  0.00127324  0.00668449
boat            1728  0.00458365  0.00541126
straight        6120  0.01623377  0.02291826
trips          16128  0.04278075  0.06569901
2 pair         36288  0.09625668  0.16195569
1 pair        193536  0.51336898  0.67532468
high card     122400  0.32467532  1.00000000
total         376992
``````

A flush becomes harder than a boat.

Some sources say trips become harder than a straight but that is not what my numbers conclude.

I just ran these equations. Please don't ask me to post the calculations. They are in that link. This site does not support Latex. There is a meta asking for support of Latex that I encourage you to up vote.

• @RaymondTimmermans Straight flush count of 24 is correct. If you want to run 7 cards the please do so. Feb 4, 2018 at 12:00
• You are correct my apologies. I am trying 7 cards right now, but for me it is really difficult :/ Feb 4, 2018 at 12:18
• Trips are harder than straight when you use 7 cards, but mostly because they turn into full houses very often. Aug 24, 2018 at 22:48
• @BogdanAlexandru Turn into a full house has not germane. There is a be nice policy so I will leave it here. Aug 24, 2018 at 22:53
• @paparazzo Not sure what you mean. I explained that when you add two more cards you see less trips because the new cards will pair the first five, in addition to adding more straights. Aug 24, 2018 at 22:57