## Poll

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**6 members have voted**

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?

Quote:AyecarumbaHow 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.

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.

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.

Quote:mipletCycle 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.

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

Part four is done: American Bingo.

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?

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.

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

Thank you!