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1. ## Parlays and expected returns

I assign a probability to each potential wager. Then I compute the expected return by multiplying this by the European style odds. Here is an example from last night.

 Wager Prob LV Odds EUR Odds Exp Ret Over 7.5 ladcub 0.481 123 2.225 1.070 KC- -3.5 0.507 119 2.195 1.113 Under 216.5 LACLAL 0.550 101 2.007 1.104

It's pretty straight forward. Since these were the best 3 I found on Nitrogen, I looked at a 3 team parlay. The probability is the product of the three probabilities. So here is the expected return calculation

 Prob EUR Odds Exp Ret 0.134 9.802 1.315

The puzzle to me is why is the expected return for the parlay higher than all of the individual wagers? Does that mean the parlay is the smarter wager?

FWIW: Had it not for the untimed plays in the KC-Oak game, the parlay would have been a winner.

2. This is difficult to understand, I assume that you mean you assign your own winning % to the games (Handicapped them as it were)

If you are producing an edge, parlays are going to increase that:

Consider if you pick at 57% against -110 lines

On 3 Hundred dollar wagers against -110, you should return roughly 30 dollars

Betting a 300 parlay those in a parlays would be .57*.57*.57 = .1851 * 6 = 1.111 return = 333

.57 would equate to 4.62% advantage over the house

.481 = 107 vs 123 = .4481 = .0329 advantage
.507 vs 119= .4566 = .0504 advatage
.55 vs 101 = .4975 = .0525 advantage

Your average calculated advantage would be .0452, equivalent to winning .569% of your bets against even money

So betting straight wagers is roughly 28.5 on 300

Parlay would be .569*.569*.569= .1842 winning % * 6 = 1.105 * 300 = 331.59 - 300 = 31.59 profit

If this was the case, and your edge is correctly assessed, it would be in your interest to bet parlays. I would be more concerned that my edge was actually this high. If your wrong, and you turn out to have a lower edge, you go from being slightly winning or breakeven, to losing rapidly.
175 pts

3-QUESTION
SBR TRIVIA WINNER 09/13/2018

3. Originally Posted by Bsims
The puzzle to me is why is the expected return for the parlay higher than all of the individual wagers? Does that mean the parlay is the smarter wager?
Higher EV, lower EG. All that extra edge is cancelled out by wildly greater variance.

4. Can you clarify how betting 100@-110 gives an expected 30\$ ?

What I know of probables is that your parlay had a 13% chance of winning but because the odds are products +1 for each the return value is higher.

Les likely to win but if it does you obviously make a higher return.

I'm not sure why your computing it like that tho. Six parlay with all individual odds at 90% is a parlay with just above a coin flip.

Unless they are big dogs and you have a feeling it doesn't seem worth putting a less than 70% pick in a parlay.

3 weeks in a row 7-10 pick pars went off by one. I should change my name to off by one

5. simply calculate the juice on any parlay (it is usually between 15-20% - for street bookies) it pays more because you have to win all the legs