Quote:
Originally Posted by greg nice
can someone show me how to calculate the math on this? is there a thread somewhere that explains it (maybe sbr)?
1. Determine teaser win and tie probabilities for each of the 2 legs.
2. Construct a table of all 9 possible outcomes, the probabilities of those outcomes, and the respective returns for each of the outcomes.
3. Sum the respective returns which equals the expected value.
Using your first game as an example (NE-2/CAR+9).
Different methods exist to determine teaser win and tie probability, e.g. push frequencies. To keep it simple, probability of NE winning based on no-vig money line = .744. To construct the winning teaser probability, subtract from this the probability of NE winning by 1 and 2, which is approx. .023 and .015, respectively. .744-.023-.015 = .706.
Odds of CAR teaser win = (probability of CAR covering +3) + (probability of losing by [3,4,5,6,7,8]) = .494 + .239 = .733. Probability of CAR losing by 9 is approx. .015.
Assume -110 teasers with tie+win=tie and tie+loss=loss.
leg | win | tie |
NE | .706 | .015 |
CAR | .733 | .015 |
NE result | CAR result | prob | payoff | weighted return |
W | W | 0.517804297 | 0.90909 | 0.470731179 |
W | L | 0.178017303 | -1 | -0.178017303 |
W | T | 0.010596268 | 0 | 0 |
L | W | 0.204200703 | -1 | -0.204200703 |
L | L | 0.070202697 | -1 | -0.070202697 |
L | T | 0.004178732 | -1 | -0.004178732 |
T | W | 0.010995 | 0 | 0 |
T | L | 0.00378 | -1 | -0.00378 |
T | T | 0.000225 | 0 | 0 |
| | | Exp. Value | 0.010351744 |
Using overly optimistic push frequencies can make a play look more attractive than reality, so choose wisely.