Quote:
Originally Posted by knicknut
Usually because parlays don't get true odds. In a true 10 team parlay, the payout for a 1 unit bet would be like betting 10 "if bets", so it would pay out (21/11)^10. Often it's up to 50% below that, since they capitalize on squares who want a chance to "hit it big" and don't realize what terrible odds they're receiving.
BTW I haven't done the math but I suspect your second expected return is exactly three times your first one, just with some rounding error.
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No it's this:
Chance of winning * Amount won when winning - chance of losing times amount lost when losing.
I went over the math and I believe it s quite correct:
(0.53^3) - the odds of winning the parlay
((21/11)^3) - 1) - the winnings win a bet is won (note the subtraction of "1" to account for the wager placed which is not winnings)
(1 - 0.53^3) - the odds of losing the bet. This times "1" equals the expected loss from each from losing bets.
BTW, I used a three team parly because you tend to get better odds on those. I haven't seen ant book which wouldn't give you at least a 10/11 win on each of the teams bet (5.95 winning return on the parlay), and many actually up the payout to 6-1.