What is the most outs you can have?

I sit between two other guys who like poker at work. Yesterday I casually wondered "what is the most outs you can have?" We were not sure.

So, in Texas Hold'em, what is the most outs you can have? I do not mean with two speciffic cards, but with any two cards, whatever on the board and you are at Fifth Street, what is the most outs you can have? I imagine it has to involve straight and flush draws, but does anybody mathematically know?

9 for a flush, 8 for a straight? 15 total? That's for 4 to a SF.

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For Texas Hold'em, it's generally considered to be 21 outs. Open-ended straight (6 outs that don't make the flush) and flush draws (9 outs), and then sometimes both of your cards are live for a pair, which adds another 6 outs.

If you want to create more rare scenarios, you can get even more than 21 outs if you're against a low pocket pair

for example, a 9h8h vs 44 on a 6h7dJsJh board. Here 9h8h has 26 outs! 8 flush outs (4h makes a boat for 44), 6 straight outs that don't make a flush, 6 outs to hit a 9 or 8 AND 6 outs to hit a 6 or 7 to make a better two pair than 44, JJ779 beats JJ774.

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Quote: Ibeatyouraces

Plus overcards so I think 21. Example you have 9,8 clubs and board reads TcJc7c2h and your opponant has 2,5 no clubs. You have 9 flush cards, 6 straight cards not including the 2 to give a straight flush (include those in flush cards) and 6 overs. 21 total.

Don't you already hold the straight flush ? Sorry I thought you had 8c9c.

But anyway you do have the straight.

Edit. It's 25 outs.

Quote: Ibeatyouraces

Quote: MangoJ

Don't you already hold the straight flush ? Sorry I thought you had 8c9c.

But anyway you do have the straight.

Another good catch. Change from 7c to 5c and opponent to 2,3 :)
Either way, Tring had the correct answer.

Different game, but Hellmuth talks about an omaha hand in one of his books where he held the stone cold nuts on the turn and was drawing dead.

There are strange turn situations in hold'em too.

Board is AAKK
You have 23
Opponent has 22
You are "winning" (AAKK3 vs AAKK2) but can't actually win the hand. You have 43 outs to push and one out (the last 2) to lose.

Quote: Ibeatyouraces

Quote: MangoJ

Don't you already hold the straight flush ? Sorry I thought you had 8c9c.

But anyway you do have the straight.

Another good catch. Change from 7c to 5c and opponent to 2,3 :)
Either way, Tring had the correct answer.

Different game, but Hellmuth talks about an omaha hand in one of his books where he held the stone cold nuts on the turn and was drawing dead.

Don't know what Hellmuth hand you are referring to, but it is probably that he was being freerolled(quite common in Omaha), as in drawing dead to winning the whole pot, he either was splitting or losing the pot. Example:

2-9-10-J on the board, he has KQ34 vs KQJJ or something....... He either splits or loses with KQ34 depending on the river.