100xOdds
Joined: Feb 5, 2012
• Posts: 3842
January 30th, 2015 at 7:10:17 PM permalink
Strategy for 97.6% DW:

http://wizardofodds.com/games/video-poker/strategy/a-1-b-44-c-1-d-0-d-1-d-2-d-3-d-4-d-4-d-10-d-12-d-20-d-200-d-800/

Why hold 4 to a straight (0 gaps) but not 4 to a flush when you have 1 wild?
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
malgorium
Joined: Aug 14, 2013
• Posts: 60
January 30th, 2015 at 7:15:57 PM permalink
I would imagine it's because with 4 to a flush with 1 wild, you only have 13 outs (10 more suits + 3 wilds), whereas if you have a 3-card straight with a wild (from 567-TJQ), you have 19 outs (16 possible straight cards + 3 wilds).
100xOdds
Joined: Feb 5, 2012
• Posts: 3842
January 30th, 2015 at 7:18:37 PM permalink
Quote: malgorium

I would imagine it's because with 4 to a flush with 1 wild, you only have 13 outs (10 more suits + 3 wilds), whereas if you have a 3-card straight with a wild (from 567-TJQ), you have 19 outs (16 possible straight cards + 3 wilds).

thought an open ended straight draw was 8 outs and a flush draw was 9 outs?
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
Mission146
Joined: May 15, 2012
• Posts: 16211
January 30th, 2015 at 7:38:17 PM permalink
Quote: 100xOdds

thought an open ended straight draw was 8 outs and a flush draw was 9 outs?

Malgorium got it in one, except he was incorrect about the number of flush outs, though the correct number makes his point even better.

Here is the reason why:

Flush

Think of every deck as having twelve Flush cards rather than the usual thirteen, in terms of natural Flushes. If you have the deuce and three Natural Flush Cards, then that leaves nine Natural Flush Cards and Three Deuces for 12 possible Flush outs out of 47 cards:

(12/47) * 3 = 0.7659574468

In the meantime, there are also nine other cards that can potentially result in 3OaK:

(9/47) * 1 = 0.1914893617

The result is 0.7659574468 + 0.1914893617 = 0.9574468085

Straight

Now, let's look at a hand such as 5-6-7-2-x:

In this case, you have to consider all of the Straights Possible. First of all, any of the other three deuces gives you a straight, so that's three. If you get a three, the Deuce acts as a four, so there are four more. If you get a four, the deuce acts as a three, so there are four. If you get an eight, the deuce acts as a nine, so there are four. If you get a nine, the deuce acts as an eight, so there are four.

Thus, you have nineteen straight outs.

(19/47) * 2 = 0.80851063829

You still have nine 3OaK cards:

(9/47) * 1 = 0.1914893617

0.1914893617 + 0.80851063829 = 1.00 (Rounded)
https://wizardofvegas.com/forum/off-topic/gripes/11182-pet-peeves/120/#post815219
100xOdds
Joined: Feb 5, 2012
• Posts: 3842
January 31st, 2015 at 1:58:55 AM permalink
Thx for the explanation!

wow 19 outs for a wild straight draw. :o

hm.. going from 12 outs (flush draw) to 19 outs (straight draw) only gives me +0.04 EV?
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
AxelWolf
Joined: Oct 10, 2012
• Posts: 21386
January 31st, 2015 at 2:04:44 AM permalink
Quote: 100xOdds

Thx for the explanation!

wow 19 outs for a wild straight draw. :o

hm.. going from 12 outs (flush draw) to 19 outs (straight draw) only gives me +0.04 EV?

How often does it come up is the important part.
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
pokerface
Joined: May 9, 2010
• Posts: 514
January 31st, 2015 at 2:18:30 AM permalink
Quote: 100xOdds

Strategy for 97.6% DW:

My question is why do you want to play such a horrible game?
winning streaks come and go, losing streak never ends.
AxelWolf
Joined: Oct 10, 2012
• Posts: 21386
January 31st, 2015 at 2:25:18 AM permalink
Quote: pokerface

My question is why do you want to play such a horrible game?

It's probably the best game near him.
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
100xOdds
Joined: Feb 5, 2012
• Posts: 3842
January 31st, 2015 at 8:17:02 AM permalink
Quote: pokerface

My question is why do you want to play such a horrible game?

I explained here:

http://wizardofvegas.com/forum/gambling/video-poker/20818-3k-hands-to-have-roughly-50-chance-of-getting-4-deuces-or-natural-royal/#post429464
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
Mission146
Joined: May 15, 2012
• Posts: 16211
February 1st, 2015 at 2:25:33 PM permalink
Quote: 100xOdds

Thx for the explanation!

wow 19 outs for a wild straight draw. :o

hm.. going from 12 outs (flush draw) to 19 outs (straight draw) only gives me +0.04 EV?

Yeah, a Straight pays less than a Flush.

If you're playing for \$\$\$ at \$5 total per hand, though, that's a \$0.20 difference every time.
https://wizardofvegas.com/forum/off-topic/gripes/11182-pet-peeves/120/#post815219