Wizards Of Odds Craps

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vphammer

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Great site. I wish I knew of it years ago.
I know that there is no betting system that will give you an advantage over the casinos. I am just looking for some math help.
What are the odds of crapping out before a place bet hits? I know the odds of hitting a 7 five times in a row is 0.129% (0.1667 to the 5th power). However, I do not know how to calculate the odds of a certain number hitting before five 7's are rolled. I have also learned from this site that the average 3.3 rolls before a 7 hits. I am wondering how to do the math to calculate the odds of place bets hitting before a 7.
Thanks for the help.
  1. Michael Shackleford, who is also known as the 'Wizard of Odds' and the author of 'Gambling 102,' gives a quick rundown on the best strategies for playing fou.
  2. Yes, the Place 6 & 8 are still very popular bets at Crapless Craps tables. I have seen so many players make a pass line bet with odds, place the 6&8 and then ask the dealers about the table or even the dealer telling new player that this table is Crapless and they still pass/odds and place 6&8. More in this thread.
  3. Overall the house edge on the pass bet in crapless craps is 373/6930 = 5.382%. Compare that to that of conventional craps at 1.414%. Crapless craps does offer free odds of 6-1 on the 2 and 12, and 3-1 on the 3 and 11. The following table shows the combined house edge by combining the pass line and the odds.
ThatDonGuy
I don't think you mean 'crapping out' - I think you mean 'sevening out'. 'Crapping out' means rolling 2, 3, or 12 on the comeout roll.
The 'odds' of sevening out before a place bet hits depend on the number.
For a 4 or 10, you will seven out 2/3 of the time.
For a 5 or 9, you will seven out 3/5 of the time.
For a 6 or 8, you will seven out 6/11 of the time.
How did I figure this out? Easy.
Suppose you place the 5. The only numbers that matter to this bet are 5 (you win) and 7 (you lose).
On any particular roll, of the 36 ways to roll the two dice, 6 are a 7, and 4 are a 5, so you lose 6 / (6 + 4) = 3/5 of the time.
odiousgambit

https://billtrickvalidatorcasino-glasshowymphrato.peatix.com. I know the odds of hitting a 7 five times in a row is 0.129% (0.1667 to the 5th power).


it's 0.0129% I believe
I believe you are making things too hard. You are focusing on how long you can roll before you roll a 7, but all that matters is that there are 6 ways to roll a 7 and, say, in the case of a 6 or 8 to resolve, 5 ways to roll. Odds are thus 6:5 against, or 6/11 chances the place bet fizzles, 5/11 chances you win the place bet. Thatdonguy was trying to answer your question the way you approached it, but is all that what you are after?
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
vphammer
I was looking at a Martindale system where I could place bet the six or 8 and have a bankroll with $400. That way I would be able to double up six times before I lost my bankroll. I know this is somewhat foolish as you would be betting $192 to win a total of $11. I was just wondering what the true odds were of rolling six 7s before a six or eight was rolled. I know the odds of rolling a 7 five times in a row is approximately 0.13%. I assume the true odds of rolling five 7s before a six or eight was rolled would be higher. I just wanted to know how high - would it be around 5%, 10% ??? Thanks
SOOPOO

I was looking at a Martindale system where I could place bet the six or 8 and have a bankroll with $400. That way I would be able to double up six times before I lost my bankroll. I know this is somewhat foolish as you would be betting $192 to win a total of $11. I was just wondering what the true odds were of rolling six 7s before a six or eight was rolled. I know the odds of rolling a 7 five times in a row is approximately 0.13%. I assume the true odds of rolling five 7s before a six or eight was rolled would be higher. I just wanted to know how high - would it be around 5%, 10% ??? Thanks Online slot games win real money.

Odds

Wink Martindale would never bet like this.
The odds of rolling five 7's before a 6 is 6/11 to the 5th power. Or around 4.8%
vphammer
I am still unsure of the math.
The odds of anything but a 7 being rolled is 30/36 = 83.3%. The odds of rolling a 6 are 5/36 = 13.9%. It would seem that if you don't seven-out, that rolling a 6 with the 30 remaining combinations is 5/30 = 16.67%, which is the same odds of rolling a seven. According to other posts, the average roll before a seven out is 3.3 times.
Does this indicate I have 3.3 chances that a 16.7% chance that a 6 will be rolled for each person that throws the dice before sevening out? And if this happen over five different people throwing the dice before sevening out - what would the math look like?
ThatDonGuy

I am still unsure of the math.
The odds of anything but a 7 being rolled is 30/36 = 83.3%. The odds of rolling a 6 are 5/36 = 13.9%. Hotel and casino in oklahoma. It would seem that if you don't seven-out, that rolling a 6 with the 30 remaining combinations is 5/30 = 16.67%, which is the same odds of rolling a seven.


When you put it that way, yes - but you don't have the luxury of knowing in advance that you're not going to seven out, so 'the remaining 30 combinations' don't apply. Each dice roll has the same set of 36 possible results.
There are always 6 ways to roll a 7; there are always 5 ways to roll a 6. Since the only rolls that affect a place bet on 6 are 6 and 7, we can ignore the other ones. Among the 11 rolls that affect the bet, 5 of them are winners, and 6 of them are losers, so the probability of the bet winning is 5/11.
The average number of rolls is calculated like this (click on the button):

11/36 of the time, the first roll is a 6 or 7, so there would be 1 roll.
25/36 of the time, the first roll is not 6 or 7, so a second roll is needed, which comes up 6 or 7 11/36 of the time; this means that 25/36 x 11/36 of the time, there would be 2 rolls.
25/36 x 25/36 of the time, the first two rolls are neither 6 nor 7, so a third roll is needed, which comes up 6 or 7 11/36 of the time; this means that 25/36 x 25/36 x 11/36 of the time, there would be 3 rolls, and so on.
The expected number of rolls is (11/36 x 1) + (25/36 x 11/36 x 2) + (25/36 x 25/36 x 11/36 x 3) + (25/36 x 25/36 x 25/36 x 11/36 x 4) + .
= 11/36 x (1 + (25/36 x 2) + (25/36 x 25/36 x 3) + (25/36 x 25/36 x 25/36 x 4) + .)
= 11/36 x ( (1 + 25/36 + (25/36)2 + + (25/36)3 + .)2
= 11/36 x (1 / (1 - 25/36))2
= 11/36 x (1 / (11/36))2
= 1 / (11/36) = 36/11 = about 3.272727 rolls
Note that this does not include the comeout roll (which was 6 in this case).

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Wink Martindale would never bet like this.
The odds of rolling five 7's before a 6 is 6/11 to the 5th power. Or around 4.8%
vphammer
I am still unsure of the math.
The odds of anything but a 7 being rolled is 30/36 = 83.3%. The odds of rolling a 6 are 5/36 = 13.9%. It would seem that if you don't seven-out, that rolling a 6 with the 30 remaining combinations is 5/30 = 16.67%, which is the same odds of rolling a seven. According to other posts, the average roll before a seven out is 3.3 times.
Does this indicate I have 3.3 chances that a 16.7% chance that a 6 will be rolled for each person that throws the dice before sevening out? And if this happen over five different people throwing the dice before sevening out - what would the math look like?
ThatDonGuy

I am still unsure of the math.
The odds of anything but a 7 being rolled is 30/36 = 83.3%. The odds of rolling a 6 are 5/36 = 13.9%. Hotel and casino in oklahoma. It would seem that if you don't seven-out, that rolling a 6 with the 30 remaining combinations is 5/30 = 16.67%, which is the same odds of rolling a seven.


When you put it that way, yes - but you don't have the luxury of knowing in advance that you're not going to seven out, so 'the remaining 30 combinations' don't apply. Each dice roll has the same set of 36 possible results.
There are always 6 ways to roll a 7; there are always 5 ways to roll a 6. Since the only rolls that affect a place bet on 6 are 6 and 7, we can ignore the other ones. Among the 11 rolls that affect the bet, 5 of them are winners, and 6 of them are losers, so the probability of the bet winning is 5/11.
The average number of rolls is calculated like this (click on the button):

11/36 of the time, the first roll is a 6 or 7, so there would be 1 roll.
25/36 of the time, the first roll is not 6 or 7, so a second roll is needed, which comes up 6 or 7 11/36 of the time; this means that 25/36 x 11/36 of the time, there would be 2 rolls.
25/36 x 25/36 of the time, the first two rolls are neither 6 nor 7, so a third roll is needed, which comes up 6 or 7 11/36 of the time; this means that 25/36 x 25/36 x 11/36 of the time, there would be 3 rolls, and so on.
The expected number of rolls is (11/36 x 1) + (25/36 x 11/36 x 2) + (25/36 x 25/36 x 11/36 x 3) + (25/36 x 25/36 x 25/36 x 11/36 x 4) + .
= 11/36 x (1 + (25/36 x 2) + (25/36 x 25/36 x 3) + (25/36 x 25/36 x 25/36 x 4) + .)
= 11/36 x ( (1 + 25/36 + (25/36)2 + + (25/36)3 + .)2
= 11/36 x (1 / (1 - 25/36))2
= 11/36 x (1 / (11/36))2
= 1 / (11/36) = 36/11 = about 3.272727 rolls
Note that this does not include the comeout roll (which was 6 in this case).

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Wizard Of Odds Craps Simulator

The whirl bet is sometimes known as the world bet in craps and they are the same exact thing. This bet consists of a combination of bets that includes the horn bet and the any seven bet. The horn bet itself is a combination of different bets in which you are wagering on the shooter rolling a 2, 3, 11 or 12. Any of these numbers wins the horn bet. The other part of the whirl bet is the any 7 wager. All you need to do there is get a seven.

This bet is interesting because the any seven bet serves as a type of hedge bet. For example, if the shooter rolls a 7, the player will win just as much as they would lose on the horn, essentially breaking even. The player would win a profit on the horn bet though, but not as much since they would lose some money on the 7 bet. Black knight online game. The world bet is all about risk management.

The actual odds of winning the whirl bet are 2:1. The payout odds are a little more complicated though. If the shooter rolls a 2 or 12, the payout is 26:5. If the shooter rolls a 3 or 11, the payout is 11:5. If the shooter rolls a 7, the payout is 0:1, which results in a push and you get your money back. Overall, the total house edge ends up being 13.33%. So given how complicated this bet is, the house edge is pretty bad and not good for the player. Although, it depends on the rules of the casino. Intertops classic sportsbook. Some casinos allow a payout of 5:1 on sevens instead of 4:1, which would provide some major improvements in the odds.

Unclutter 2 1 17. I tried to display the whirl bet below in a screenshot. Unfortunately, this table does not have a horn bet spot on the craps proposition betting layout. So I put chips on all four numbers included in the horn bet (Otherwise you just need to put that stack of chips on the horn bet layout). Then I put some chips on the any seven spot. If you were at a land based casino, the dealer would probably know what a whirl or world bet is and they would just do everything automatically for you.

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