llldjl
llldjl
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June 21st, 2010 at 7:04:23 AM permalink
i have a local keno machine where after the original 20 balls you can buy two extra balls for the price of the original bet. i calculated the odds of the normal keno game from the keno calculations from wizard of odds site but do not know how to work out if it is worth buying the two extra balls. this machine is linked to another capped jackpot so i need to know the exact odds.
the pays for the machine are.
spot3 2h=$4 3h=$26
spot4 2h=$2 3h=$8 4h=$45
spot5 2h=$1 3h=$4 4h=$18 5h=$110
spot6 3h=$3 4h=$14 5h=$33 6h=$125
spot7 3h=$1 4h=$10 5h=$20 6h=$46 7h=$200
spot8 4h=$6 5h=$18 6h=$32 7h=$64 8h=$800
spot9 4h=$5 5h=$7 6h=$15 7h=$22 8h=$300 9h=$1000
spot10 4h=$3 5h=$5 6h=$13 7h=$20 8h=$50 9h=$500 10h=$2000
cheers
miplet
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June 21st, 2010 at 8:36:13 PM permalink
You can use the same formulas just replace 20 with 22, 60 with 58, and divide by 2 because you are betting twice as much. I made a google docs spread sheet. Just fill in the orange cells. I did pick 10 already. Of couse my usual disclamer of brainoes and/or typoes.
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llldjl
llldjl
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June 22nd, 2010 at 6:35:52 AM permalink
cheers buddy thats a huge help.
miplet
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June 22nd, 2010 at 1:18:22 PM permalink
I noticed you tryed adding in a 20 pick. I only set it up to do up to 10. I'll fix it later, but I don't know if it will work (too many combos).
.....
It's later and fixxed.
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Wizard
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Wizard
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August 3rd, 2017 at 2:39:41 PM permalink
Miplet, I looked at your spreadsheet and I think you may misunderstand the rules. It looks like you assumed the player would get paid for both the draw after 20 balls and again after 22. It also looked like you assumed the player would make two bets, one for the 20-ball draw and one for the 22-ball draw.

The way it works is like normal keno for the first 20 balls. Then, the player has the option to buy two more balls for a price equal to his original wager. He is paid only after the final ball draw. So, if the extra improves his win from 6 to 8 hits, he is paid for 8 hits only.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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August 3rd, 2017 at 3:14:40 PM permalink
I saw this two-extra-ball version of keno in my visit to the Holland Casino in Amsterdam. It had a different pay table than the one asked about in the OP. It isn't often that I disagree with miplet, but this is one of those times. I analyzed both the Amsterdam pay table as well as what I'll call the Miplet pay table in my new page on Extra Draw Keno (with two extra balls).

Please have a look. As always, I welcome all comments, questions, and especially corrections. Since Miplet and I disagree on the math, a third opinion would be highly appreciated.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
miplet
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August 3rd, 2017 at 3:57:18 PM permalink
Wow this is from a while ago. I think I assumed you just bet twice as much before any balls were drawn. Don't know why I assumed that. Guess I should play more Keno ;+)
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Wizard
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August 3rd, 2017 at 6:21:05 PM permalink
Quote: miplet

Wow this is from a while ago. I think I assumed you just bet twice as much before any balls were drawn. Don't know why I assumed that. Guess I should play more Keno ;+)



When I wanted to compare my results to something this thread was the only thing I could find on Google on the topic.

As mentioned, the player is given the opportunity to buy the extra balls after the initial draw and is paid only at the end of the game.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
RS
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August 3rd, 2017 at 8:37:42 PM permalink
I don't know what all the fuss is about.

But when I analyzed extra-draw keno, my figures matched whatever Wizard had on WOO at the time.
Wizard
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August 4th, 2017 at 2:03:19 PM permalink
Quote: RS

I don't know what all the fuss is about.

But when I analyzed extra-draw keno, my figures matched whatever Wizard had on WOO at the time.



I'm quite sure my two-extra-ball figures are right. It didn't take much to amend my spreadsheet to do two balls instead of three. Still, just out of habit, I like to get a confirmation whenever I can.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
miplet
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August 4th, 2017 at 3:13:46 PM permalink
Quote: Wizard

I'm quite sure my two-extra-ball figures are right. It didn't take much to amend my spreadsheet to do two balls instead of three. Still, just out of habit, I like to get a confirmation whenever I can.


I just finished a new google doc. I spot checked a few pay tables and agree with your results.
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Wizard
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August 4th, 2017 at 3:37:25 PM permalink
Quote: miplet

I just finished a new google doc. I spot checked a few pay tables and agree with your results.



Thanks Miplet! You are worth your weight in palladium.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
miplet
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August 4th, 2017 at 4:06:35 PM permalink
Quote: Wizard


Thanks Miplet! You are worth your weight in palladium.


About $1.6 million. :+)
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RS
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August 4th, 2017 at 4:44:40 PM permalink
Quote: miplet

About $1.6 million. :+)


You weight 63 pounds?
miplet
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August 4th, 2017 at 6:51:09 PM permalink
Quote: RS

You weight 63 pounds?

125 pounds. About 56.699 kilo. Spot price of $28328 per kilo. 56.699 * $28328 = $1606169.272
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