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Wizard
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Wizard
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January 6th, 2016 at 8:28:29 PM permalink


Rival software has four bingo games. I'm going to analyze them one at a time, starting with the easiest, 30 Ball Bingo.

Please click the second link and let me know what you think. As always, I welcome comments, questions, and especially corrections.

The question for the poll is would you play bingo games like this?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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January 7th, 2016 at 8:36:01 AM permalink
Q: Why shouldn't you make fun of a paleontologist?

Because you will get Jurasskicked.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Ayecarumba
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January 7th, 2016 at 9:31:48 AM permalink
How are the player's cards generated? Is it possible to get multiples of the same 9 numbers, or does the machine screen these out?
Simplicity is the ultimate sophistication - Leonardo da Vinci
Wizard
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January 7th, 2016 at 10:11:54 AM permalink
Quote: Ayecarumba

How are the player's cards generated? Is it possible to get multiples of the same 9 numbers, or does the machine screen these out?



I assume it draws 3 numbers at random from 1 to 10 for the first column, 3 from 11 to 20 for the second, and 3 from 21 to 30 for the third. I doubt they bother to screen for duplicates, given the very unlikely chance of that happening, and the server drag the screening would cause.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Ayecarumba
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January 7th, 2016 at 11:05:08 AM permalink
I don't think this game would be interesting to me, as the ease of correlating a losing number on the card with a non-drawn virtual "ball" seems too easy. Even if the cards are randomly produced, it would be simple to run a quick analysis of all the cards to find the key number that should not be drawn to ensure a small win for the casino.
Simplicity is the ultimate sophistication - Leonardo da Vinci
Wizard
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January 7th, 2016 at 11:19:48 AM permalink


I'd like to present my next analysis in this series, 80 Ball Bingo.

The question for the mathematicians and programmers on the forum is how do you think I analyzed this when it involves 57,900,619,847,453,700,000,000 combinations? Seems like a lot to cycle through and the rule about one winner per card only makes for some messy math.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
miplet
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January 7th, 2016 at 1:32:31 PM permalink
Quote: Wizard


I'd like to present my next analysis in this series, 80 Ball Bingo.

The question for the mathematicians and programmers on the forum is how do you think I analyzed this when it involves 57,900,619,847,453,700,000,000 combinations? Seems like a lot to cycle through and the rule about one winner per card only makes for some messy math.


Cycle through all 2^16 ways a card can be marked and score them.
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Wizard
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January 7th, 2016 at 3:40:07 PM permalink
Quote: miplet

Cycle through all 2^16 ways a card can be marked and score them.



Very good! That is the main step. Then take a dot product with that and the probability of any given number of marks on the card.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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January 7th, 2016 at 5:03:09 PM permalink


Part three is done: European bingo. Would anybody (Miplet) care to confirm or deny the math?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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January 8th, 2016 at 6:44:38 AM permalink


Part four is done: American Bingo.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Ayecarumba
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January 8th, 2016 at 9:25:36 AM permalink
Quote: Wizard



Part three is done: European bingo. Would anybody (Miplet) care to confirm or deny the math?



Is this a game that is actually played in European Bingo Halls?
Simplicity is the ultimate sophistication - Leonardo da Vinci
CrystalMath
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January 8th, 2016 at 10:30:58 AM permalink
Quote: Wizard



Part three is done: European bingo. Would anybody (Miplet) care to confirm or deny the math?



I verified the probabilities. I just used the hypgeomdist function in Excel since none of the patterns overlap.
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Wizard
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January 8th, 2016 at 11:05:58 AM permalink
Quote: Ayecarumba

Is this a game that is actually played in European Bingo Halls?



I don't know. I've been to Europe five times and never seen bingo anywhere. However, I can say this is what bingo cards look like in Central and South America.

Quote: CrystalMath

I verified the probabilities. I just used the hypgeomdist function in Excel since none of the patterns overlap.



Thank you!
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
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