Poll

No votes (0%)
No votes (0%)
6 votes (100%)
No votes (0%)
2 votes (33.33%)
No votes (0%)
No votes (0%)
No votes (0%)
1 vote (16.66%)
2 votes (33.33%)

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Wizard
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September 6th, 2016 at 3:16:55 PM permalink


I just did an analysis of a Derby-based game, but using cards. For all the details, please see my new page on Race the Ace. As you can see, the return ranges from 50.71% to 97.26%, so it matters a lot on what you bet on.

As always, I welcome questions, comments, and especially corrections.

The question for the poll is would you play Race the Ace?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Ayecarumba
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September 6th, 2016 at 3:38:16 PM permalink
Some of the tables are mislabled "0-0-3-4"
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Ayecarumba
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September 6th, 2016 at 3:46:14 PM permalink
Are draws that contain 5-7 of the same suit simply discarded? If I had a "pre" bet and always had to race three other suits instead of occasionally only having to race two others, I would feel ripped off (even if one of the disqualified suits was mine a quarter of the time).
Simplicity is the ultimate sophistication - Leonardo da Vinci
Wizard
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September 6th, 2016 at 3:55:38 PM permalink
Thanks for the correction on the table headings.

Quote: Ayecarumba

Are draws that contain 5-7 of the same suit simply discarded? If I had a "pre" bet and always had to race three other suits instead of occasionally only having to race two others, I would feel ripped off (even if one of the disqualified suits was mine a quarter of the time).



Yes, they seem to be. The probability of getting 5 or more of one suit in a random deal is 0.028956823. I've played the game at least 50 times and never seen it happen. Maybe I'm just not patient enough, but what odds would they pay on that suit where it is impossible to win.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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September 6th, 2016 at 8:23:21 PM permalink
Two random variables were talking in a bar. They thought they were being discrete but I heard their chatter continuously.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
miplet
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September 6th, 2016 at 8:55:53 PM permalink
The pays and probabily headings are reversed.
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Wizard
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September 7th, 2016 at 4:29:48 AM permalink
Quote: miplet

The pays and probabily headings are reversed.



Thanks. Frequently made mistake.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Romes
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September 7th, 2016 at 6:52:24 AM permalink
I've played this for years and years... It's a drinking game. You bid on the number of drinks (sips) you get to give out or take all yourself by picking a suit. Whenever that suit is drawn you get to give a drink (sip). When all 4 aces meet up on the same row again (if they do) then it's a social drink (sip). Whichever ace hits the finish line first whomever bet drinks on that ace get to give their drinks out to the other players, while also the other players must consume the drinks they bet on their other aces for losing.
Playing it correctly means you've already won.
PapaChubby
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September 7th, 2016 at 7:14:55 AM permalink
Quote: Wizard

Thanks for the correction on the table headings.



Yes, they seem to be. The probability of getting 5 or more of one suit in a random deal is 0.028956823. I've played the game at least 50 times and never seen it happen. Maybe I'm just not patient enough, but what odds would they pay on that suit where it is impossible to win.



If they offered 50,000 to 1, I think a lot of people would play it.
miplet
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September 7th, 2016 at 8:55:03 AM permalink
Quote: Wizard

Thanks for the correction on the table headings.



Yes, they seem to be. The probability of getting 5 or more of one suit in a random deal is 0.028956823. I've played the game at least 50 times and never seen it happen. Maybe I'm just not patient enough, but what odds would they pay on that suit where it is impossible to win.


From here:
Quote:

When the form cards are picked in the getTopSeven() method, a check is carried out to ensure that no suit has more than 4 cards in the set, as this would render that suit unable to win. If this does occur, the deck is thrown away and a new draw started. This is carried out silently.

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Ayecarumba
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September 7th, 2016 at 9:33:31 AM permalink
Does the winning Ace need to move seven times or eight times in order to resolve the game?

Quote: Wizard's Race the Ace WoO Page


9. The first ace to advance eight times shall win and bets on the suit of that ace shall win.


Quote: The Analysis on Miplet's link

Game Description
Race the Ace is a standard-deck card game where the aces of each suit 'race' up an 8 position race track. Cards
are presented from a shuffled deck, and the suit of the turned card progresses its respective ace forward one
space on the race track. The first ace to step forward 7 times to the finish is declared the winner.

Simplicity is the ultimate sophistication - Leonardo da Vinci
Wizard
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September 7th, 2016 at 11:24:44 AM permalink
Quote: miplet

From here:



Thanks! What would I do without you?

I think there are jobs for people that search for hard to find things on the Internet. My daughter had a summer job in a law firm and spent some of her time searching for obscure stuff. Just an idea if you're ever looking for a career change.
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Wizard
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September 7th, 2016 at 11:28:48 AM permalink
Quote: Ayecarumba

Does the winning Ace need to move seven times or eight times in order to resolve the game?



Eight. You can clearly see that on the practice game.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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September 7th, 2016 at 11:49:09 AM permalink
I was hoping somebody would vote for "How did you analyze that, Wiz?" I show there are 293,173,253,532,241,000,000,000,000,000,000,000,000 ways a race could play out, and that considers suits only, not ranks. The report Milplet pointed to used random simulation (of only 7 million games *hmph*). I'm proud to say I used exact math and it took my computer less than a second.
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Romes
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September 7th, 2016 at 11:58:36 AM permalink
From one nerd (a badge I wear with pride) to another I love how passionate you are about the little things. How did that possibly take less than 1 second? You must have like quad core top of the line gear...
Playing it correctly means you've already won.
Wizard
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September 7th, 2016 at 2:30:56 PM permalink
Quote: Romes

From one nerd (a badge I wear with pride) to another I love how passionate you are about the little things. How did that possibly take less than 1 second? You must have like quad core top of the line gear...



Thank you! The core speed wasn't the issue. Just an efficient way of programming it.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
487tracydrive
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September 7th, 2016 at 3:03:11 PM permalink
I need a nerd code book. Seems like when I ask a nerd,what are the chances of something happening, he says 0.000001481.
What I wanted to hear was 1 in 675,000.
miplet
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September 7th, 2016 at 3:29:58 PM permalink
Quote: Wizard

I was hoping somebody would vote for "How did you analyze that, Wiz?" I show there are 293,173,253,532,241,000,000,000,000,000,000,000,000 ways a race could play out, and that considers suits only, not ranks. The report Milplet pointed to used random simulation (of only 7 million games *hmph*). I'm proud to say I used exact math and it took my computer less than a second.


That same site with the report also lists a bunch of games, just look at the directory (including parent directories). I am ashamed that whoever did the math for 6 shooter and sharp shooter used a simulation of 500,000 and 1,000,000 games respectively.
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Wizard
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September 7th, 2016 at 3:45:47 PM permalink
Quote: 487tracydrive

I need a nerd code book. Seems like when I ask a nerd,what are the chances of something happening, he says 0.000001481.
What I wanted to hear was 1 in 675,000.



I think it is on page 26 of the Nerd Code to express probabilities on the 0 to 1 scale, unless you're deliberately trying to dumb it down.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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September 7th, 2016 at 3:47:09 PM permalink
Quote: miplet

I am ashamed that whoever did the math for 6 shooter and sharp shooter used a simulation of 500,000 and 1,000,000 games respectively.



That is painful. They probably didn't have much computer time after running all the punch cards through.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
487tracydrive
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September 7th, 2016 at 5:45:23 PM permalink
Quote: Wizard

I think it is on page 26 of the Nerd Code to express probabilities on the 0 to 1 scale, unless you're deliberately trying to dumb it down.



A biologist, a chemist and a statistician are out hunting.

The biologist shoots at a deer and misses five feet to the left.

The chemist shoots at the same deer and misses five feet to the right.

The statistician shouts, “We got him!”
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