DaveG44131
DaveG44131
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September 11th, 2014 at 10:04:40 AM permalink
Hi I'm hoping a math wiz will be able to help me here. I found a bingo style table game online and want to know how good/bad a bet it is. It goes like this. The player makes a bet and is given a 1-75 bingo card with no free space. Rules/mechanics as follows

1) Coverall
2) 5 numbers called per round, 1 each B I N G & O
3) numbers are replaced after each round
4) Game lasts at most 22 rounds, if the player Bingos on or before the 22nd round they are paid, otherwise they lose their initial bet.

I also saw a miniature version using a 4x4 1-40 card (1-10,11-20,21-30,31-40) with 4 numbers called per round and lasting 12 rounds.

What are my chances of getting Bingo in these games?
Dieter
Dieter
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September 11th, 2014 at 12:15:23 PM permalink
Quote: DaveG44131


4) numbers are replaced after each round



That one sounds like a killer.
May the cards fall in your favor.
beachbumbabs
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beachbumbabs
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September 11th, 2014 at 8:16:40 PM permalink
I know you asked about the math, which I am not skilled enough to compute.

But, where in regular BINGO, you get closer and closer to your goal, in this game, you get further and further away because of the replacement.

The past performance now has no effect on future draws.

So, to get your first of any column, is 5 of 15
Then 4 of 15
Then 3 of 15
Then 2 of 15
Then 1 of 15

Your odds of a useful ball get worse and worse as rounds go on. And you have to do it x5 columns, all or nothing.

I would guess a house advantage of 20-25% at a SWAG.
If the House lost every hand, they wouldn't deal the game.
24Bingo
24Bingo
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September 11th, 2014 at 9:06:21 PM permalink
Quote: DaveG44131

1) Coverall
2) no free space

5) Game lasts at most 22 rounds, if the player Bingos on or before the 22nd round they are paid, otherwise they lose their initial bet.



Um... if I'm reading this right... do not play this game.
The trick to poker is learning not to beat yourself up for your mistakes too much, and certainly not too little, but just the right amount.
JB
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JB
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September 11th, 2014 at 9:08:40 PM permalink
Quote: DaveG44131

The player ... is given one standard 1-75 bingo card


Quote: DaveG44131

2) no free space


A standard bingo card has a free space. If the card has no free space, it is not a standard bingo card. Does the card have 4 or 5 numbers in the N column?
DaveG44131
DaveG44131
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September 11th, 2014 at 9:40:53 PM permalink
5 numbers in the N column. Edited original post.
BTLWI
BTLWI
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September 13th, 2014 at 8:34:57 AM permalink
What does #3 mean?

The bingo balls that are drawn are put back in? So N-44 could be called 5 rounds in a game?

Or the not daubed numbers on your card change every round? For example your B-column is 4, 8, 10, 11, 12 the first round. They call B-12 so you get to daub it. Next round your B-column changes to 1, 2, 7, 10, daub?
beachbumbabs
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beachbumbabs
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September 13th, 2014 at 9:32:37 AM permalink
Quote: BTLWI

What does #3 mean?

The bingo balls that are drawn are put back in? So N-44 could be called 5 rounds in a game?

Or the not daubed numbers on your card change every round? For example your B-column is 4, 8, 10, 11, 12 the first round. They call B-12 so you get to daub it. Next round your B-column changes to 1, 2, 7, 10, daub?



I'm not the OP, but yes, they could call N44 5 times in a game, because the numbers are replaced after each round, if what he said is correct. That's what's so deadly about the game. I don't know about the numbers changing, but I don't think they do, again referring to what he said.

The thing that's different about it from traditional BINGO, as well, is that each round guarantees one pick from each column. That might make up for some of what you lose in the replacement, mathematically. Still, not nearly enough to make it a good game, again guessing.
If the House lost every hand, they wouldn't deal the game.
DaveG44131
DaveG44131
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September 13th, 2014 at 9:52:48 AM permalink
Quote: beachbumbabs

I'm not the OP, but yes, they could call N44 5 times in a game, because the numbers are replaced after each round, if what he said is correct. That's what's so deadly about the game. I don't know about the numbers changing, but I don't think they do, again referring to what he said.

The thing that's different about it from traditional BINGO, as well, is that each round guarantees one pick from each column. That might make up for some of what you lose in the replacement, mathematically. Still, not nearly enough to make it a good game, again guessing.



You are correct on both counts. The same number can be called more than once and each round guarantees a pick from each column. Your card never changes as BTLWI suggests. Also, I would think being guaranteed up to 110 balls being called (22 rounds x 5 balls per round) would also make up some of the "with replacement" difference, since the average Coverall game takes approximately 73 balls called to win.
ThatDonGuy
ThatDonGuy
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September 13th, 2014 at 6:13:41 PM permalink
If it's Coverall, I did a Monte Carlo with 50 million runs, and won 1/763 of the time.

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