And its not the Prick (he is a much better 3-9)
i mean this guy is consistently losing every week
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Given the number of contestants, it's not that unlikely that somebody goes 0-12.
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I agree the numbers are ugly, but 12-0 doesn't prove heaps more than 0-12 does. To me both records indicate a dosage of very good/bad luck being sprinkled around. If you haven't gone through stretches where you couldn't win a game you haven't been doing it long enough.
you can keep picking all the "crappy" teams in the world, and know absolutely nothing about sports, and the expectation would still be to hit 50% winners on spread bets/totals.
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Assuming no correlation between a player's bets amd meglecting pushes, the probability of any given poster going 0-12 would be 2-12 ≈ 0.02441%.
With 399 players having competed in all 3 weeks, and making the (completely inaccurate) assumption of no cross-correlation between players, the probability of at least 1 player going 0-12 would be 1-(1-0.02441%)399 ≈ 9.283%.
SBR Founder Join Date: 8/28/2005
No, it's actually slightly more complex than that.
Wagers 1-11:
The probability of the 12th consecutive loss first occurring at any of wager #'s 1-11 is obviously zero.
Wager 12:
The probability of the 12th consecutive loss first occurring at wager # 12 is 2-12 = 1/4,096.
Wagers 13-23:
The probability of the 12th consecutive loss first occurring at any of wager #'s 13-23 is 9 is 2-13 = 1/8,192. (We know that the last 13 wagers of the sequence would have to be 1 win followed by 12 losses -- the previous wagers would be irrelevant).
Wager 24:
The probability of the 12th consecutive loss first occurring at wager# 24 is 2-13 * (1 - Pr(12 in a row by game 12)) = 1/8,192 * (1-1/4,096). (We know that the last 13 wagers of the sequence would have to have been 1 win followed by 12 losses. The previous 11 wagers before that would be irrelevant).
Wager 25:
The probability of the 12th consecutive loss first occurring at wager 25 is 2-13 * (1 - Pr(12 in a row by game 13)) = 1/8,192 * (1-1/8,192). (We know that the last 13 wagers of the sequence would have to have been 1 win followed by 12 losses. The previous 12 wagers before that must NOT have contained a 12 consecutive wager loss.)
Wager m ≥ 24:
The probability of the 12th consecutive loss first occurring at wager m (m ≥ 24) is 2-13 * (1 - Pr(12 in a row by game m - 12)) = (1 - Pr(12 in a row by game m - 12))/8,192 . (We know that the last 13 games of the sequence would have to have been 1 win followed by 12 losses. The previous (m - 13) games before that must NOT have contained a 12 consecutive game loss.
So for 399 wagers we just take the summation of the first 399 terms (388 not counting the first 11 zero terms).
So assuming my math is correct, this gives us a probability of 4.644% of "achieving" a 12 or greater game loss (or win) streak over 399 wagers.
In general, the probability of at least one stretch of at least L consecutive losses of a wager (that loses with probability q and wins with probability 1-q), over n trials is given (recursively) by:
Pr(L; n) = Pr(at least L Losses over n trials)
= 0 if n < L
= qL if n = L
= Pr(L; n-1) + qL×(1-q)×(1-Pr(L; n-L)) if n > L and L≠1
= Pr(L; n-1) + qL×(1-Pr(L; n-L)) if n > L and L=1
SBR Founder Join Date: 8/28/2005
Just for "fun", here's a a simple HTML form that performs these streak likelihood calculations.
SBR Founder Join Date: 8/28/2005
getting crazy with the numbers, just glad i'm not 0-12. Not much better.
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Thanks.
How about I pretty it up a bit and add it to the betting tools section?
SBR Founder Join Date: 8/28/2005
SBR Founder Join Date: 8/28/2005