# Poker Strategy

**URL:** <https://boards.straightdope.com/t/poker-strategy/301120>\
**Category:** Factual Questions\
**Created:** [April 26, 2005, 4:55am UTC](https://boards.straightdope.com/t/poker-strategy/301120 "2005-04-26T04:55:34Z")\
**Posts on this page:** 16\
**Page:** 1

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**Author:** ![newcomb\_being](https://avatars.discourse-cdn.com/v4/letter/n/97f17d/32.png) [@newcomb\_being](https://boards.straightdope.com/u/newcomb_being)\
**Post date:** [April 26, 2005, 4:55am UTC](https://boards.straightdope.com/t/poker-strategy/301120/1 "2005-04-26T04:55:34Z")

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In five card draw I have:

Ace spades  
King hearts  
Jack hearts  
ten hearts  
three spades

Should I drop the two spades and shoot for a flush or

should I drop the three of spades and shoot for a straight?

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**Author:** ![treis](https://avatars.discourse-cdn.com/v4/letter/t/bc79bd/32.png) [@treis](https://boards.straightdope.com/u/treis)\
**Post date:** [April 26, 2005, 5:01am UTC](https://boards.straightdope.com/t/poker-strategy/301120/2 "2005-04-26T05:01:08Z")

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You have a 4/47=8.5% chance of getting a queen for the straight and a (11/47)(10/46)(9/45)=1.0% chance of catching the spades.

Shoot for that straight.

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**Author:** ![treis](https://avatars.discourse-cdn.com/v4/letter/t/bc79bd/32.png) [@treis](https://boards.straightdope.com/u/treis)\
**Post date:** [April 26, 2005, 5:02am UTC](https://boards.straightdope.com/t/poker-strategy/301120/3 "2005-04-26T05:02:50Z")

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Der I am an idiot ignore my previous post.

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**Author:** ![newcomb\_being](https://avatars.discourse-cdn.com/v4/letter/n/97f17d/32.png) [@newcomb\_being](https://boards.straightdope.com/u/newcomb_being)\
**Post date:** [April 26, 2005, 5:07am UTC](https://boards.straightdope.com/t/poker-strategy/301120/4 "2005-04-26T05:07:15Z")

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I will.

If it helps, I did shoot for the straight and actually caught the queen… I just don’t know if that was the right move or not.

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**Author:** ![treis](https://avatars.discourse-cdn.com/v4/letter/t/bc79bd/32.png) [@treis](https://boards.straightdope.com/u/treis)\
**Post date:** [April 26, 2005, 5:10am UTC](https://boards.straightdope.com/t/poker-strategy/301120/5 "2005-04-26T05:10:32Z")

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I’ll come back and redeem myself. I was on the right track before but read the proble m wrong. The odds for the Queen are correct but to catch two hearts you need (10/47)\*(9/46)=4.2%.

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**Author:** ![newcomb\_being](https://avatars.discourse-cdn.com/v4/letter/n/97f17d/32.png) [@newcomb\_being](https://boards.straightdope.com/u/newcomb_being)\
**Post date:** [April 26, 2005, 5:18am UTC](https://boards.straightdope.com/t/poker-strategy/301120/6 "2005-04-26T05:18:22Z")

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> [@treis](#):
>
> I’ll come back and redeem myself. I was on the right track before but read the proble m wrong. The odds for the Queen are correct but to catch two hearts you need (10/47)\*(9/46)=4.2%.

are you sure? doesn’t that only work if i’m playing against zero other players?

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**Author:** ![mhendo](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mhendo/32/3159_2.png) [@mhendo](https://boards.straightdope.com/u/mhendo)\
**Post date:** [April 26, 2005, 5:41am UTC](https://boards.straightdope.com/t/poker-strategy/301120/7 "2005-04-26T05:41:32Z")

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> [@newcomb being](#):
>
> are you sure? doesn’t that only work if i’m playing against zero other players?

No.

Provided you haven’t seen any cards except the ones in your hand, it doesn’t matter how many people you are playing against. You know whazt 5 cards are, and the next card in the deck could be any one of the remaining 47.

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**Author:** ![newcomb\_being](https://avatars.discourse-cdn.com/v4/letter/n/97f17d/32.png) [@newcomb\_being](https://boards.straightdope.com/u/newcomb_being)\
**Post date:** [April 26, 2005, 5:52am UTC](https://boards.straightdope.com/t/poker-strategy/301120/8 "2005-04-26T05:52:07Z")

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ah, gotcha.

thanks

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**Author:** ![glee](https://avatars.discourse-cdn.com/v4/letter/g/b5a626/32.png) [@glee](https://boards.straightdope.com/u/glee)\
**Post date:** [April 26, 2005, 12:53pm UTC](https://boards.straightdope.com/t/poker-strategy/301120/9 "2005-04-26T12:53:00Z")

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> [@treis](#):
>
> I’ll come back and redeem myself. I was on the right track before but read the problem wrong. The odds for the Queen are correct but to catch two hearts you need (10/47)\*(9/46)=4.2%.

These odds are exactly right for getting the two big hands.

In the interest of completeness, there’s probably a slightly better chance to make a pair if you take 2 cards.

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**Author:** ![Gary\_T](https://avatars.discourse-cdn.com/v4/letter/g/3ec8ea/32.png) [@Gary\_T](https://boards.straightdope.com/u/Gary_T)\
**Post date:** [April 26, 2005, 1:06pm UTC](https://boards.straightdope.com/t/poker-strategy/301120/10 "2005-04-26T13:06:18Z")

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Hmmm. Here’s my seat-of-the-pants way of looking at this:

There’s a 1/13 (7.7%) chance of getting a particular rank.

There’s a 1/4 (25%) chance of getting a particular suit, and 1/4x1/4, or 1/16 (6.3%) chance of getting two of a particular suit.

So between going for the flush or the straight in this instance, you’re slightly more likely to get the the straight.

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**Author:** ![Otto](https://avatars.discourse-cdn.com/v4/letter/o/bbe5ce/32.png) [@Otto](https://boards.straightdope.com/u/Otto)\
**Post date:** [April 26, 2005, 1:13pm UTC](https://boards.straightdope.com/t/poker-strategy/301120/11 "2005-04-26T13:13:53Z")

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> [@newcomb being](#):
>
> If it helps, I did shoot for the straight and actually caught the queen… I just don’t know if that was the right move or not.

That depends on how much money was in the pot.

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**Author:** ![RM\_Mentock](https://avatars.discourse-cdn.com/v4/letter/r/e274bd/32.png) [@RM\_Mentock](https://boards.straightdope.com/u/RM_Mentock)\
**Post date:** [April 26, 2005, 1:20pm UTC](https://boards.straightdope.com/t/poker-strategy/301120/12 "2005-04-26T13:20:22Z")

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> [@Otto](#):
>
> That depends on how much money was in the pot.

yeah, the third and probably better option was folding

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**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [April 26, 2005, 9:29pm UTC](https://boards.straightdope.com/t/poker-strategy/301120/13 "2005-04-26T21:29:30Z")

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Another factor here is that one of your spades is your high card. If it comes down to no-pairs, or your pair vs. someone else’s, that ace would be nice to have. But I’m not sure how much weight that carries, since you also have a king.

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**Author:** ![Eleusis](https://avatars.discourse-cdn.com/v4/letter/e/f4b2a3/32.png) [@Eleusis](https://boards.straightdope.com/u/Eleusis)\
**Post date:** [April 27, 2005, 3:24am UTC](https://boards.straightdope.com/t/poker-strategy/301120/14 "2005-04-27T03:24:37Z")

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> [@Gary T](#):
>
> Hmmm. Here’s my seat-of-the-pants way of looking at this:
> 
> There’s a 1/13 (7.7%) chance of getting a particular rank.
> 
> There’s a 1/4 (25%) chance of getting a particular suit, and 1/4x1/4, or 1/16 (6.3%) chance of getting two of a particular suit.
> 
> So between going for the flush or the straight in this instance, you’re slightly more likely to get the the straight.

The first part is correct because you haven’t seen any queens.

The second isn’t, because three hearts are already out of the deck. **treis** was correct with this formula: (10/47)\*(9/46)=4.2%, which accounts for the fact there are 10 hearts left until you catch a fourth, and then there are only 9 left.

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<div class="post-metadata">

**Author:** ![Eleusis](https://avatars.discourse-cdn.com/v4/letter/e/f4b2a3/32.png) [@Eleusis](https://boards.straightdope.com/u/Eleusis)\
**Post date:** [April 27, 2005, 3:29am UTC](https://boards.straightdope.com/t/poker-strategy/301120/15 "2005-04-27T03:29:48Z")

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> [@Eleusis](#):
>
> The first part is correct because you haven’t seen any queens.

:smack:

Argh. There’s only 47 cards left so it’s actually 4/47, again as posted by **treis**.

And now I see that you were intentionally posting “a seat of the pants quick and dirty” solution, nothing exact.

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**Author:** ![Otto](https://avatars.discourse-cdn.com/v4/letter/o/bbe5ce/32.png) [@Otto](https://boards.straightdope.com/u/Otto)\
**Post date:** [April 27, 2005, 2:12pm UTC](https://boards.straightdope.com/t/poker-strategy/301120/16 "2005-04-27T14:12:45Z")

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> [@RM Mentock](#):
>
> yeah, the third and probably better option was folding

Again depends on how much money was in the pot, the strength of the players he was against, what position he’s in, etc. If there’s a decent sized pot and it doesn’t cost him a lot to play then calling with what amounts to a nothing hand might be the right play. He could catch his straight, or pair up, or hold the A-high which might be good, or he could run a bluff and take down the pot.
