Quote:
Originally Posted by rickroll
you're effectively treating it as if it'll succeed half the time when common sense indicates that's not even remotely possible, . .
That sounds like you think he thinks winning the bet is 50/50. What he’s assuming is that the number landing on 9 is just as likely as the number landing on 10. He may be wrong.
Quote:
Originally Posted by DK1944
1. Do the odds just get added together? So the combined odds of a 18-1 chance and a 9-1 chance is 6-1
No.
Quote:
Originally Posted by DK1944
3. Should I be average the potential payout? So $180 + $90 is $270. Halve that, which is $135. So I'm risking $10 to win an average of $135, so 13.5-1?
Kind of. I prefer looking at is as probabilities applied to each payout. In your example that would be .5*$180 + .5*$90 = $90+$45 = $135. A better approach would be if you know or can reasonably estimate the odds of each number. Let’s assume there is a 1/20 chance of the number landing on 9 and a 1/21 chance of the number landing on 10. So $90/20 + $180/21 = 4.5+8.57 = $13.07 (which is more than $10, so a profitable bet in the long run if the estimates are correct).
Quote:
Originally Posted by DK1944
4. Following on from option 3, is it too simple to just say average the potential payouts. It might work out ok on an NBA game because the chance of either margin is probably very similar, but what if this was NFL, where the chance of 10 would be greater than the chance of 9. Does the chance of each payout occurring need to be factored in?
Yes. I see on one chart where NFL games land on 10 about 5.5% of the time, and on 9 about 1.5% of the time. So using the numbers in your example, .055*$180 + .015*$90 = 9.9+1.35 = $11.25. But there are two other factors to consider. The first is that those percentages were on games ending on those numbers, not the favorite winning by those numbers. Obviously, the favorite will win by large margins more often than the underdog, but not enough to make that wager profitable, in my opinion. The second factor is that the number landing on either 9 or 10 is probably far more likely for a 9 or 10 point favorite than the average NFL game. So that works in your favor. Is it enough to overcome the error in the first factor I mentioned? I haven't a clue. What you really want to find in the NFL are middles including a 7, or better yet, a 3. Those percentages are about 9.5% and 14% respectively, and probably profitable even without the extra half point.