When they don't pay you when the 12 rolls, that is the house advantage.
For almost a zero edge, they could pay the don'ts half their bet and take away half the do bet.
The fact that they take the pass line and don't pay the don't pass line is where the edge "lives" so to speak.
Pass line, no odds: 1.41%
Don't pass, no odds: 1.40%
Quote: sodawaterHouse edge for craps:
Pass line, no odds: 1.41%
Don't pass, no odds: 1.40%
That's right. There some discussion that if you count a tie as resolved, the don't is 1.36%. Either way, for the same number of rolls, you will last longer on the don't pass line as you get into the millions of rolls because of the push.
Quote: AhighThat's right. There some discussion that if you count a tie as resolved, the don't is 1.36%. Either way, for the same number of rolls, you will last longer on the don't pass line as you get into the millions of rolls because of the push.
A very long time ago I figured out the number of trials that would be necessary to determine that one's bankroll results were less negative as a result of betting don't pass than betting pass (as opposed to just getting lucky). I can't remember the exact final result, but it was on the order of more bets than anyone could make in several lifetimes.
In other words, don't sweat the 0.01%. You'll never be able to tell the difference.
Quote: MathExtremistA very long time ago I figured out the number of trials that would be necessary to determine that one's bankroll results were less negative as a result of betting don't pass than betting pass (as opposed to just getting lucky). I can't remember the exact final result, but it was on the order of more bets than anyone could make in several lifetimes.
In other words, don't sweat the 0.01%. You'll never be able to tell the difference.
Now, THAT ... is an intelligent post. I also want to point out that I generally agree that the edges can be considered to be the same on the do and don'ts. But oh how the arguments about how Scarne had it all wrong can take up a weekend's worth of arguing for those with time to talk about it.
If one looks at the EV over say 1000 $5 pass line bets resolved for the don't pass using both HE values, the EV should be the same.Quote: AhighThat's right. There some discussion that if you count a tie as resolved, the don't is 1.36%.
Either way, for the same number of rolls, you will last longer on the don't pass line as you get into the millions of rolls because of the push.
Player A makes 1000 pass line bets
at the same time
Player B makes 1000 don't pass line bets.
Their EV for the 1000 bets is???
we can easily see which value is easier to "use" for the don't pass EV calculations.
1000 $5 pass line bets resolved.
How many don't pass bets will be resolved as a win or a loss???
Ah, that is a random variable.Yes? We can get an average.
EV 1000 pass line bets = -7/495 (1.41%) * 1000 *$5 = -$70.71
EV 1000 don't pass line bets = -3/220 (1.36%) * 1000 * $5 = -$68.18 (we count the ties as resolved bets from the #12 pushes)
Now to "not count" the ties =
-27/1925 (1.40%) * (1000 - (1000/36)) * $5 = -68.18
Huh? The EV is the same.
The only way there is any difference at all is when you start making come or DC bets on top when it comes to comparing the two. Combining pass line with come bets or don't pass line with DC bets has more of an effect on your up-and-down action than doing the pass line versus the don't pass line when you're just doing one bet at a time with no odds.
If you only want one single bet on the felt at a time (like a Baccarat player) .. it makes NO MEANINGFUL DIFFERENCE what side of the table you play on in terms of chance of winning that one bet out there in the long run.