January 8th, 2019 at 1:44:04 AM
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The game Go-Go bingo has four cards of fifteen numbers each, with numbers 1-12 always in row 1 of each card, 13-24 in row 2, etc., with no repeating of the 60 numbers. An initial bet is $1 (which can be changed, but payouts remain proportional) and the following payouts:

ANY LINE $.75

LINE UP $.75

LINE DOWN $.75

CROSS $1.50

ROMAN I $2.50

BULLSEYE $7.50

CHECKERED $7.50

ANY 2 LINES $20

TT $25

EYE $50

FRAMED $125

FULL HOUSE $375

30 balls are drawn, and extra balls can be bought for a price determined by the maximum potential payout of the next ball (if there is none, it is free) divided by the number of balls remaining, and rounded up to the nearest quarter. There seems to be an edge to the player when multiple payouts are available (such as 2 ways to win $20 with 30 balls left--the player receives odds of 52.33:1 on a 29:1 event), but I am unable to calculate the house edge or optimal strategy for maximizing the return from the game.

ANY LINE $.75

LINE UP $.75

LINE DOWN $.75

CROSS $1.50

ROMAN I $2.50

BULLSEYE $7.50

CHECKERED $7.50

ANY 2 LINES $20

TT $25

EYE $50

FRAMED $125

FULL HOUSE $375

30 balls are drawn, and extra balls can be bought for a price determined by the maximum potential payout of the next ball (if there is none, it is free) divided by the number of balls remaining, and rounded up to the nearest quarter. There seems to be an edge to the player when multiple payouts are available (such as 2 ways to win $20 with 30 balls left--the player receives odds of 52.33:1 on a 29:1 event), but I am unable to calculate the house edge or optimal strategy for maximizing the return from the game.

January 9th, 2019 at 5:50:20 PM
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The only "strategy" appears to be whether or not to buy an extra ball.

As for house edge, even if you limit the calculation to the original 30 balls, you need to describe (a) just what each winning layout looks like, (b) the difference between "any line," "line up," and "line down," (c) whether the $1 bet is for all four cards or per card, and (d) can there be more than one payout, or is it just "highest value pays" (so, for example, a full house doesn't also pay off all of the other results as well)?

To determine the extra ball strategy, you'll need to be more specific as to what the cost is. What do you mean by "number of balls remaining" - for example, on your first extra ball, would that be 30, since there are still 30 undrawn balls?

As for house edge, even if you limit the calculation to the original 30 balls, you need to describe (a) just what each winning layout looks like, (b) the difference between "any line," "line up," and "line down," (c) whether the $1 bet is for all four cards or per card, and (d) can there be more than one payout, or is it just "highest value pays" (so, for example, a full house doesn't also pay off all of the other results as well)?

To determine the extra ball strategy, you'll need to be more specific as to what the cost is. What do you mean by "number of balls remaining" - for example, on your first extra ball, would that be 30, since there are still 30 undrawn balls?

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