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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?
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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.
"My life is spent in one long effort to escape from the commonplace of existence. These little problems help me to do so." -- Sherlock Holmes
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?
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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.
"My life is spent in one long effort to escape from the commonplace of existence. These little problems help me to do so." -- Sherlock Holmes
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.
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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.
"My life is spent in one long effort to escape from the commonplace of existence. These little problems help me to do so." -- Sherlock Holmes
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.
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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?
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Wizard
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January 8th, 2016 at 6:44:38 AM permalink


Part four is done: American Bingo.
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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?
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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!
"My life is spent in one long effort to escape from the commonplace of existence. These little problems help me to do so." -- Sherlock Holmes
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