longtimelancer
longtimelancer
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May 15th, 2014 at 7:14:53 PM permalink
I couldn't find the SD for different types of Roulette bets on the Wizard's website. I know the edge is always 5.36%, but what is the SD for 1:1, 2:1, 6:1, 36:1, etc.?

Thanks!
Tomspur
Tomspur
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May 15th, 2014 at 7:18:37 PM permalink
First off, the HE for all bets except for the basket bet on the double zero wheel is not 5.36% but rather 5.26%. The HE for the basket bet is 7.89%

As for the SD of a double zero wheel = 0.998

I may be wrong but that is what I know with my limited knoweldge :)
“There is something about the outside of a horse that is good for the inside of a man.” - Winston Churchill
ChesterDog
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May 15th, 2014 at 8:27:24 PM permalink
Quote: longtimelancer

I couldn't find the SD for different types of Roulette bets on the Wizard's website. I know the edge is always 5.36%, but what is the SD for 1:1, 2:1, 6:1, 36:1, etc.?

Thanks!



Here are some standard deviations for some payouts for double zero roulette under United State rules:
pays	 standard deviation
1 0.999
2 1.394
5 2.188
6 2.366
8 2.762
11 3.236
17 4.019
35 5.763

And for Atlantic City rules for double zero roulette, the standard deviation for a 1:1 payout is 0.980.
kubikulann
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May 17th, 2014 at 11:03:19 AM permalink
Multiply the probab of winning with that of losing, then take the square root. Multiply by the win (odds + 1).

For example, a column in single-zero roulette:
P=12/37 ; Q=25/37 ; win=3
sqrt PQ = 17.32/37 = 0.468122
3 x .468122 = 1.404
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mustangsally
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May 17th, 2014 at 12:25:10 PM permalink
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AceTwo
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May 17th, 2014 at 12:44:51 PM permalink
Shouldn't the St. Dev. for the Even Money Bet be 1 (not 0,999 or 0,98).
And that is the case for any Even Money Bet in any game whatever the probability of Win or Lose (assuming no Ties exist in the game).
MangoJ
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May 17th, 2014 at 2:18:38 PM permalink
Quote: AceTwo

Shouldn't the St. Dev. for the Even Money Bet be 1 (not 0,999 or 0,98).
And that is the case for any Even Money Bet in any game whatever the probability of Win or Lose (assuming no Ties exist in the game).



Nope. In the extreme case where you can't win the bet, all results are a loss and standard deviation must be zero.
kubikulann
kubikulann
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May 17th, 2014 at 2:45:54 PM permalink
Quote: mustangsally

in my opinion, no one wants to do that much math by hand,

Yes, I know I'm abnormal... I do it in my head.

I am just reading a book by Keith Devlin, The Maths Gene. Why everybody has it but not everybody uses it.. Therein, he says that mathematicians rarely ever do arithmetic, even that most are rather bad at calculation.

That's how I know I am not a mathematician, but some kind of freak instead. ;-)
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FleaStiff
FleaStiff
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May 17th, 2014 at 3:10:42 PM permalink
When I play roulette its usually:
2 to 1 12 2 12/38 26/38 1.944598338 1.394488558 -0.052631579 -0.052631579
even 18 1 18/38 20/38 0.997229917 0.998613998 -0.052631579 -0.052631579

However, I'm not quite sure what his all means.

The house edge obviously is always the same... I'm paying that amount to gamble there. That is the amount of unfairness in the bet.
Or it can be viewed as the Mordita, the bite. The amount the Godfather takes to "wet his beak". The Vigorish. The Vig.

The rest is pretty much lost on me.
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