Hard Eight Craps Payout

Hard Eight Craps Payout Rating: 4,1/5 8787 votes
ewoks4life
  • The house edge on a hard 4 or 10 is 11.11% with a payout of seven to one. The house edge on a hard 6 or 8 is 9.09% with a payout of nine to one. Basic Rules for Hardway Bets. The bet is located in the center of the Craps table. The minimum wager for Hardway bets can be as little as 1$. The hard way bet is lost if a 7 is rolled.
  • Hard Eight Moderator of r/Craps, speaking officially Original Poster 3 points 1 year ago We get questions about Vegas and people take trips there for the expressed purpose of gambling. I suggest we see how this goes and we can maybe consider an expansion to other states.
  • The shooter must shoot toward the farther back wall and is generally required to hit the farther back wall with both dice.10 crown casino 24 hours Aug 2015 Figuring out place bets on the 4 or 10 at 9 to 5 odds is not that hard.On the come out roll craps payouts chart each player may only make one bet on the Pass or Don't Pass, but may bet both.

For a payout of 9.5 / 1 on a $75 hard 6/8 i know quickly to multiply by 10 and minus half the wager, so the payout will be $750 - $37.50 = $712.50 plus the bet stands. I was looking for similar short cut calculations on some of the other payouts if anyone knows of any.

Hi there,
I had an idea for a new Craps prop bet and was trying to write some Python code that would simulate the bet, but ran into an issue.
My assumption was that if you flipped the rules of a bet and you flipped the payouts of the bet the house edge on that new hypothetical bet could be expressed by simply changing the sign of the house edge on the original bet.
Say you turned the hard 8 bet into a lay the hard 8 bet. You win on 7 or easy 8 before the next hard 8. You’re essentially acting like the casino at that point and the payouts go from 9:1 to 1:9. Shouldn’t the house edge on this new hypothetical bet be -9.09% since the house edge on hard 8 is 9.09%?
To test my assumption, I ran a 10 million round simulation of the traditional hard 8 bet and laying the hard 8 and was surprised to find that while the original hardway bet did show a house edge of ~ 9%, laying the hard 8 showed a house edge of ~ -1%.
I’m trying to determine if the mistake I’ve made is in the assumption that a house edge flips if you flip the payouts and the rules of the bet or if the mistake I’ve made is in the Python code I’ve written.
Any thoughts?

Returns:
Hard eight player edge: -9.11%
Lay hard eight player edge: 0.98%
ThatDonGuy
Your code appears correct.
Your mistake is, while you are 'acting like the casino' when you lay the bet, the casino is betting 1/9 against your 1, rather than 1 against your 9, but your house edge is based on your bet rather than the casino's.
ewoks4life
I'm sorry but I really don't understand what you mean. Are you saying that this bet really would only be an advantage of 1% if the player could make it? I don't see how that could be.
If the casino has a 9% advantage on a hard 8, surely the player would have a 9% advantage if they could book the same exact bet as the casino, right? Putting my $9 up against the casino's $1 (which is the same scenario that plays out on a standard hard 8 bet, just reversed) is the same as putting my $1 up against the casino's $(1/9).
odiousgambit
fair odds are 10:1 ... I'd guess if they ever let you play darkside you'd put up something like $15 to win $1
if you only had to put up $9 I agree that the player would get the casino's exact edge for himself
in any case that has to be the most unheard of bet in a casino - to take the large end of the bet. I can't think of anything like that for the momentPayouts
I take it back, the most unheard of thing is to intentionally allow a bet with a player edge
the next time Dame Fortune toys with your heart, your soul and your wallet, raise your glass and praise her thus: “Thanks for nothing, you cold-hearted, evil, damnable, nefarious, low-life, malicious monster from Hell!” She is, after all, stone deaf. ... Arnold Snyder
RS
Thanks for this post from:

I'm sorry but I really don't understand what you mean. Are you saying that this bet really would only be an advantage of 1% if the player could make it? I don't see how that could be.
If the casino has a 9% advantage on a hard 8, surely the player would have a 9% advantage if they could book the same exact bet as the casino, right? Putting my $9 up against the casino's $1 (which is the same scenario that plays out on a standard hard 8 bet, just reversed) is the same as putting my $1 up against the casino's $(1/9).


'House Edge' is actually a bit of a misnomer.
The casino isn't betting $1 against your $1. The casino is betting $9 against your $1. You just have a 9% disadvantage.
The casino has a 1% or so advantage on their $9 bet. You have a 9% (or so) disadvantage on your $1 bet.
IE: Player $1 bet: has 10 ways to lose $1 and 1 way to win $9. The total money wagered is $11. The sum of outcomes (10*-1 + 1*9) is -1.
-1/11 ~ -9%
The casino, on the other hand, is betting $9. 1 way to lose $9 and 10 ways to win $1. Total money wagered is $99. The sum of outcomes (-9*1 + 1*10) is +1.

Hard Eight Craps Payout Odds


+1/99 ~ +1%.ThatDonGuy
Thanks for this post from:

'House Edge' is actually a bit of a misnomer.
The casino isn't betting $1 against your $1. The casino is betting $9 against your $1. You just have a 9% disadvantage.
The casino has a 1% or so advantage on their $9 bet. You have a 9% (or so) disadvantage on your $1 bet.

Hard Eight Craps Payout Payouts


This. +1. Whatever the term for 'exactly' is this week.
The amount of the house edge is the same on both sides of the place bet because you are putting up 9x what the casino is.
The percentage, on the other hand, is different because each side is betting a different amount.
ewoks4life
Thank you both for the explanation. It's much clearer now. I looked over the code 10x and knew it was making the bet and payouts in the exact opposite way so figured it must have just been my lack of understanding the math.

in any case that has to be the most unheard of bet in a casino - to take the large end of the bet. I can't think of anything like that for the moment
I take it back, the most unheard of thing is to intentionally allow a bet with a player edge


When it comes table games I think Craps has the largest lay bet available at 19 to 41 when laying the 4 or 10 (when factoring in the vig). I can't think of anything with a smaller payout compared to the original bet.
You can lay much higher odds on sports. The infamous No Safety SB bet comes to mind.
This is just a thought experiment for me, not a serious idea that I'm going to try to sell to casinos or anything. They wouldn't want this bet. Obviously if a casino did implement this it would not be at 1 to 9. It would be at 1 to 10 or 1 to 11. Much like how 99% of sports betters don't lay -900 on No Safety in the SB, 99% of players would never lay 1 to 9 on a bet at a Craps table even if they had an advantage so no players would ever lay 1 to 10 or 1 to 11 on a bet where the casino had an advantage so it would just never be implemented.
I'm just messing around trying to intersect my interest in (basic) programming with my interest in gambling.

Hard Eight Craps Payouts

ewoks4life
Hi there,
I had an idea for a new Craps prop bet and was trying to write some Python code that would simulate the bet, but ran into an issue.
My assumption was that if you flipped the rules of a bet and you flipped the payouts of the bet the house edge on that new hypothetical bet could be expressed by simply changing the sign of the house edge on the original bet.
Say you turned the hard 8 bet into a lay the hard 8 bet. You win on 7 or easy 8 before the next hard 8. You’re essentially acting like the casino at that point and the payouts go from 9:1 to 1:9. Shouldn’t the house edge on this new hypothetical bet be -9.09% since the house edge on hard 8 is 9.09%?
To test my assumption, I ran a 10 million round simulation of the traditional hard 8 bet and laying the hard 8 and was surprised to find that while the original hardway bet did show a house edge of ~ 9%, laying the hard 8 showed a house edge of ~ -1%.
I’m trying to determine if the mistake I’ve made is in the assumption that a house edge flips if you flip the payouts and the rules of the bet or if the mistake I’ve made is in the Python code I’ve written.
Any thoughts?

Returns:
Hard eight player edge: -9.11%
Lay hard eight player edge: 0.98%
ThatDonGuy
Your code appears correct.
Your mistake is, while you are 'acting like the casino' when you lay the bet, the casino is betting 1/9 against your 1, rather than 1 against your 9, but your house edge is based on your bet rather than the casino's.
ewoks4life
I'm sorry but I really don't understand what you mean. Are you saying that this bet really would only be an advantage of 1% if the player could make it? I don't see how that could be.
If the casino has a 9% advantage on a hard 8, surely the player would have a 9% advantage if they could book the same exact bet as the casino, right? Putting my $9 up against the casino's $1 (which is the same scenario that plays out on a standard hard 8 bet, just reversed) is the same as putting my $1 up against the casino's $(1/9).
odiousgambit
fair odds are 10:1 ... I'd guess if they ever let you play darkside you'd put up something like $15 to win $1
if you only had to put up $9 I agree that the player would get the casino's exact edge for himself
in any case that has to be the most unheard of bet in a casino - to take the large end of the bet. I can't think of anything like that for the moment
I take it back, the most unheard of thing is to intentionally allow a bet with a player edge
the next time Dame Fortune toys with your heart, your soul and your wallet, raise your glass and praise her thus: “Thanks for nothing, you cold-hearted, evil, damnable, nefarious, low-life, malicious monster from Hell!” She is, after all, stone deaf. ... Arnold Snyder
RS
Thanks for this post from:

I'm sorry but I really don't understand what you mean. Are you saying that this bet really would only be an advantage of 1% if the player could make it? I don't see how that could be.
If the casino has a 9% advantage on a hard 8, surely the player would have a 9% advantage if they could book the same exact bet as the casino, right? Putting my $9 up against the casino's $1 (which is the same scenario that plays out on a standard hard 8 bet, just reversed) is the same as putting my $1 up against the casino's $(1/9).


'House Edge' is actually a bit of a misnomer.
The casino isn't betting $1 against your $1. The casino is betting $9 against your $1. You just have a 9% disadvantage.
The casino has a 1% or so advantage on their $9 bet. You have a 9% (or so) disadvantage on your $1 bet.
IE: Player $1 bet: has 10 ways to lose $1 and 1 way to win $9. The total money wagered is $11. The sum of outcomes (10*-1 + 1*9) is -1.
-1/11 ~ -9%
The casino, on the other hand, is betting $9. 1 way to lose $9 and 10 ways to win $1. Total money wagered is $99. The sum of outcomes (-9*1 + 1*10) is +1.
+1/99 ~ +1%.

Hard Eight Craps Payout Rules

ThatDonGuy
Thanks for this post from:

'House Edge' is actually a bit of a misnomer.
The casino isn't betting $1 against your $1. The casino is betting $9 against your $1. You just have a 9% disadvantage.
The casino has a 1% or so advantage on their $9 bet. You have a 9% (or so) disadvantage on your $1 bet.


This. +1. Whatever the term for 'exactly' is this week.
The amount of the house edge is the same on both sides of the place bet because you are putting up 9x what the casino is.
The percentage, on the other hand, is different because each side is betting a different amount.
ewoks4life
Thank you both for the explanation. It's much clearer now. I looked over the code 10x and knew it was making the bet and payouts in the exact opposite way so figured it must have just been my lack of understanding the math.

in any case that has to be the most unheard of bet in a casino - to take the large end of the bet. I can't think of anything like that for the moment
I take it back, the most unheard of thing is to intentionally allow a bet with a player edge


When it comes table games I think Craps has the largest lay bet available at 19 to 41 when laying the 4 or 10 (when factoring in the vig). I can't think of anything with a smaller payout compared to the original bet.
You can lay much higher odds on sports. The infamous No Safety SB bet comes to mind.
This is just a thought experiment for me, not a serious idea that I'm going to try to sell to casinos or anything. They wouldn't want this bet. Obviously if a casino did implement this it would not be at 1 to 9. It would be at 1 to 10 or 1 to 11. Much like how 99% of sports betters don't lay -900 on No Safety in the SB, 99% of players would never lay 1 to 9 on a bet at a Craps table even if they had an advantage so no players would ever lay 1 to 10 or 1 to 11 on a bet where the casino had an advantage so it would just never be implemented.
I'm just messing around trying to intersect my interest in (basic) programming with my interest in gambling.