0 points = 0.5939393939
1 point = 0.2607504920
2 points = 0.1012753555
3 points = 0.0334342122
4 points = 0.0087981784
5 points = 0.0016399331
6 points = 0.0001624347
Part of that reason is because it's too hard to figure into it all the extra points made along the way.
Remember, a FireBet is 4, 5, or 6 DIFFERENT points.
0 points = 98/165
1 point = 78834/302335
2 points = 1970803095086/19459848690711
3 points = 1308430294936495236340268/39134473632501557375602251
4 points = 397827275553303559561275300153332123/45217004661600798293395811871070645620
5 points = 205475014116867547145317940818694649261505/125294750887234054523299013860064832861616986
6 points = 3700403899126040038831518494284887738125/22780863797678919004236184338193605974839452
I'll go ahead and explain why the calulation is feasible. There are only 2^6=64 possible states once the fire bet has started, as you either have or have not made each of the 6 points. For each of these 64 states, it is easy to calculate the probability of getting to each possibile new state, and the probability of remaining at the same state. There are no loops (because you can only make new points or seven out), so it really is then just a direct calculation of the probability of reaching each state and ending the bet on each state. (In contrast, if there were loops then treatment as a Markov chain would be required.)
You can also make REPEAT point, (or seven out while trying to repeat.)Quote: ZPPThere are no loops (because you can only make new points or seven out)....
As I already pointed out, the FireBet is paid after making 4, 5, or 6 DIFFERENT points.
Quote: DJTeddyBearYou can also make REPEAT point, (or seven out while trying to repeat.)Quote: ZPPThere are no loops (because you can only make new points or seven out)....
Yes, technically I meant that there are no loops other than self-loops, as was already implied by stating that the probability of remaining at the same state can easily be calculated. It is trivial to deal with. If the probability of remaining at the same state is p, just adjust the other events at that state by a factor of 1/(1-p).
Quote: DJTeddyBearAs I already pointed out, the FireBet is paid after making 4, 5, or 6 DIFFERENT points.
Yes, that is why there are 64 states rather than 7 states (0 through 6).
Hmmm.... There are only two casinos in CT, and to the best of my knowledge, only one had the FireBet. I wonder which casino you're not naming.... ;)Quote: SammyJankisi actually work for a prominent CT casino that just took the bet out because they believed they were losing money on it.
When I was in Vegas in September, I stayed at Sahara. They have the FireBet mentioned on the in-room TV channel that features the casino, but it's not on the table, so I asked. They said it had been taken out a year prior. The reason? Not that they were losing money on the bet, but that they were losing money during the time that the table was shut down for surveilance review each time it hit.
It wasn't just the time that the table was closed, although that probably didn't help. Too many people, who otherwise would be giving some winnings back while thinking the hot streak wasn't over, had to wait and had time to think, and would cash in after getting paid.
Just for hitting all 6. And you're right, it wasn't long. Less than 5 minutes.Quote: cclub79They really shut the table every time it was hit?
But it was long enough for people to fear that the inerruption itself killed the continuation of the hot streak. And plenty long enough particulrarly for people that didn't place the FireBet bet and weren't waiting for anything other than the action to resume.
Personally, after the points had been hit 3 times I would have surveillance watching the table already in real time, if they were not already doing so, negating the need for table closures, and any problems could be communicated to the pit.
I may be over simplifying matters, my experience coming from working in a small casino where apart from continuously recording cameras, the only live surveillance is the Dealers, Inspectors, and Pit Bosses.
But I *think* the delay might have been partially due to paperwork. I.E. Swipe everyone's player card, tax forms, etc.
---
On the flip side, my wife won $12,000 at Let It Ride and the table was shut for about 30 minutes.
I was next to a poker table that hit a Bad Beat jackpot. That took close to an hour!
---
Of course, I guess each casino is different when it comes to those kinds of delays due to paperwork procedures.
Quote: cclub79If they make you do the IRS dance for 5 points (which they didn't do when I hit it), since a 5 dollar bet pays $1250, I think I'll bet $4 max.
Not sure, and maybe somebody else can comment on it, but I think the $1200 W-2G 'threshold' only applies to slots. For table games the threshold is some kind of ratio between amount bet and amount won.
For example, if you bet $600 on a hand of blackjack and win $1200, you're not going to get a W-2G.
When my wife hit her Straight Flush at Let It Ride, she got a W2-G just for the jackpot portion. I.E. The couple thousand she won off that $1 side bet.
Even though it makes sense, I still think it's odd.
It was a single hand, but the W2-G was for only part of the bet.
At Cache Creek Casino in Yolo County, CA, they play craps with dice and cards. They have two decks of 36 cards; each card has a picture of a dice combination. The deck represents "the perfect 36". One deck is in the shuffling machine while another is dealt from, one card in a blue square and one in a red square. The red die has only 4s and 1s, the blue die 3s and 2s. The "shooter" rolls the dice; if the red die has the higher number, the red card is turned over, giving the result, else the blue card is turned over. Each deck is used just once, so there is no "replacement" issue.
They started this game in 2004, IIRC. When I first played there, they dealt the two cards into the boxes, then the dice were rolled and the appropriate card turned over. Fine. Once you got used to not trying to interpret the dice as the result, it was just like regular craps, a bit slower. Assuming the shuffling machine truly randomizes the cards, the dice roll is just a way to get the players involved and make it closer to real craps. Even if the shooter could control the dice, he/she wouldn't know which card was more advantageous to pick. Even if the shooter could somehow know what the two cards were, the dice are still random. However:
A year or so ago I went out there, not having been for several months. Now, when they dealt the two cards, they put them both face down in the red square with a red plastic card covering them. After the dice roll, the stick moved the red plastic card, moved the top card into the blue square, and turned over the card "pointed to" by the higher die.
I asked the box when they started doing that, and he said, "We've always done that." I said, "No, you haven't; I was here when the game opened and you used to deal the cards directly into the two boxes." He said that the casino management got paranoid and didn't want the players to be able to see the tops of the cards before rolling the dice!
Cheers,
Alan Shank
Like I said, every casino has it's own set of procedures.
Are you serious?Quote: SammyJankisThere is actually 2 1/2 casino's. Mohegan, foxwoods, and MGM grand@ foxwoods.
PLEASE tell me that that's some PR BS and not something you came up with on your own.
For those that don't know:
About 1 1/2 years ago, Foxwoods opened their third casino, the MGM Grand at Foxwoods. All 3 are at the same location, but they are distinct and separate. Some people would consider them to simply be different rooms. These rooms have slots as well as table games, but they are quite a distance apart. Around 1/2 mile? At the same location, between the two older casinos, are several slot only rooms. Some of the P.R. material counts EACH of the rooms as another casino. So in some materials, Foxwoods has upwards of 10 casinos!
Yeah, the PR considers the MGM Grand Casino and Hotel to be separate from Foxwoods. Gamblers wouldn't. Heck, they use the same chips, etc.
By contrast, Mohegan Sun has two distinct casinos (or rooms), both complete with slots and tables, on opposite ends of the building. Between the two are all the shops and restaurants and hotel. About a year ago they opened a third casino, also with slots and tables. It's in the back of one of the existing casinos. A casual observer wouldn't even realize that the room was expanded. Someone who has experience there would, but without looking at the maps, wouldn't realize that it's considered a separate casino.
So, depending on how you count, at these two locations 9 miles apart are CT's only 2, 5, 6 or 12 casinos!
(BTW: I might have the timeline a little wrong.)
your timeline is relatively accurate. may 17 2008.
I did the first three cases via Excel this morning (0 points, 1 point, 2 points, 3 or more points) and got the same results. That was so messy ... I just lost my patience to finish it ...
Surely there is an easier way that enumerating the 6 dimensional cube.
Also, using (1 - X1 - X2)^(-1) ... etc ...
I suppose some nifty data structure, and following all the paths, would do it pretty quickly ... maybe even recursion ...
Sheesh! I'm a long way from Kansas today ...
--Dorothy
The basic idea is there are 2^6=64 possible states, for whether or not the shooter already made each of the 6 points. You have to calculate the probability of each state leading to the other states it could go to directly from there. I had to do some fancy stuff with vlookup statements and index numbers to automate the process.
Quote: WizardI could put my spreadsheet on GoogleDocs if anyone requests it.
The basic idea is there are 2^6=64 possible states, for whether or not the shooter already made each of the 6 points. You have to calculate the probability of each state leading to the other states it could go to directly from there. I had to do some fancy stuff with vlookup statements and index numbers to automate the process.
Thanks Wizard. Consider it requested.
It is nice to see how others do difficult calculations using Excel instead of simulations. Especially from those who can do it well.
And more challenged math folks like myself learn a lot from it.
Quote: 7crapsConsider it requested.
Consider it done.
Here is the link http://spreadsheets.google.com/ccc?key=0AjxTd62nlHn6dExNRzdCR2VnT0UzMGpQNHJUdUwtSVE&hl=en. There is a comment in cell Z3 of the "math" sheet that explains a little how I did it.
Quote: WizardI think if you are a US citizen they wouldn't withhold anything, but you would get a W2G form.
I do know in MS and LA they take something, so I'm assuming a state tax. Just wondering how much on $5000. Anybody??
Quote: DeMangoI do know in MS and LA they take something, so I'm assuming a state tax. Just wondering how much on $5000. Anybody??
I have said this a couple of times, and only speak from personal experience. They start withholding at exactly 5000 and it was 28% federal and sometimes the state takes some too. Because the net win on a fire is actually only 4995, maybe they'd let you slide. But I've had cashiers do different things. For example, I've won 1300 on a 900 pari-mutual ticket, but they still made me sign, because they said that technically I won on a 2 dollar ticket, and lost on 449 other 2 dollar tickets that just happened to be on the same paper. But then they put the price of my bet as $2, and not 900. So I just save all of my losing tickets, and if I get audited, I'll show them all.
And lets make it more complicated. The final point is 4. You lay the 4 for $2000. Your win will be either $3000 or $2200 after vig. No tax on the latter (only a 250 for 1 payout) On the $3000 win do you pay taxes on $3000 or $5000?? Where is a good tax man when you need him??
I will be in Mississippi next week, I'll play some with Loveman's minions and will ask a TGS there for the local poop. Last week I forgot once to bet the sob and you just know I made 5 points. I can't even describe how sick to my stomach I was.....
It sounds like we're going to have trouble getting a definitive answer. Maybe different casinos, or at least different states, have different rules.
Bottom line: Does it really matter?
Unless you win more than you can legitimately claim as losses, you're not going to pay tax, and will get back anything they withhold. Oh, sure, I'd rather they didn't withhold anything if I'm just gonna get it back, but...
I don't like that one bit!
--Dorothy
Quote: DJTeddyBearJust for hitting all 6. And you're right, it wasn't long. Less than 5 minutes.
But it was long enough for people to fear that the inerruption itself killed the continuation of the hot streak.
It makes one wonder if this "instant replay" delay wasn't a dilatory tactic intended to end the hot streak, much like the "chip-change" ruse that interrupts streaks at many other tables?
Suppose a crap table offers the fire bet and that a shooter hits all six separate points. Do they pay out, clear the fire bet markers, and let people place new fire bets on that same shooter, or is the fire bet opportunity gone until the next shooter is up? If there had been a fire bet available that day when Patricia Demauro had her monster roll, I suspect people would have been itching for a chance to get a new fire bet down, even if they had passed up on it in the beginning.
From the casino's viewpoint (assuming that they have enough experience that they don't really believe that hot previous rolls are an omen for hot future rolls), it would seem to be a good idea to accept all of those extra potential wagers on a high-house-edge bet. But what do they really do? I've never seen all six points made on a fire bet table.
If the shooter had already hit all six points - but yet rolls even MORE points, the players will have to wait until the shooter is finished by sevening out, even if the bet was "theoretically completed" earlier.
In other words, you wait, and you better not leave, until the shooter finally sevens out. On a hot roll, it causes the players to wait on payments and logistic problems.
Quote: PaigowdanThe Fire bet is paid ONLY when the shooter had FINALLY sevened-out; it stays up in a "waiting state" waiting to be paid; the payout is activated when shooter loses the dice on a seven out.
I guess Doc didn't have a six year old child to read him the rules.
1. IF the player rolls for four hours (an absolutely tremendous hand), but had hit all six points a half-hour into the hand, players will wait three and a half hours to collect their Fire bet win.
2. If the shooter passes the dice in the middle of a hand, the bet stays up and continues on with the next shooter. The bet is only "seven-out terminated." The new shooter who continues the hand gets to hold on to the dice through two seven outs as a result: one attributed to the shooter who pass the dice mid-hand, and the new shooter's "purely owned" hand.
3. This is one of the rarer (but more pleasant) logitistical probelms of the bet: if you have to wait, you'll wait through even more winnings, assuming if you're a right-side bettor. If you were a don't pass/DC bettor who used the Fire bet as a hedge, then you'll have to wait through more loses to collect on the Fire bet.
Other problems include:
- Surveillance expense to monitor, as mentioned;
- increase in variance/"dumping" for the house: if the bet hits and payouts out big, the table was by then already dumping from all of the winning pass line, place, come and other bets won in the interim, assuming the vast majority of players are right-side players, which is almost always the case.
- the bet generates modest income, but always aggrevates "house-dumping" scenarios.
- if you have NO other action on the table, you may have to abandon your bet. Some houses don't let you don't let you make the bet and then "not play." What if you have ten players on a crap table, but the only "layout" bet on the table is the shooter's single $3 pass line-line bet? Not a good scenario for the house.
Quote: PaigowdanThe Fire bet is paid ONLY when the shooter had FINALLY sevened-out; it stays up in a "waiting state" waiting to be paid; the payout is activated when shooter loses the dice on a seven out.
If the shooter had already hit all six points - but yet rolls even MORE points, the players will have to wait until the shooter is finished by sevening out, even if the bet was "theoretically completed" earlier.
In other words, you wait, and you better not leave, until the shooter finally sevens out. On a hot roll, it causes the players to wait on payments and logistic problems.
I have seen the 6 hit once (no I hadn't bet it) and they paid it immediately. It took about 5 minutes and then the same shooter carried on. That was at the Grand Villa in Vancouver, BC. 2 players had $5 on it and several more had a buck, dealers had about 3 and were quite excited as well. Being Canada tax free money.
Thanks for the additional info, kenarman.Quote: kenarmanI have seen the 6 hit once (no I hadn't bet it) and they paid it immediately.
I made it to the Edgewater and River Rock casinos on my last visit to Vancouver, back in 2008, but I haven't been to Grand Villa, Starlight, Boulevard, or any of the others in BC. I have enjoyed each visit to the Vancouver area, and perhaps I can get back again some day and check out the other casinos. I would like that.
Quote: kenarmanI have seen the 6 hit once (no I hadn't bet it) and they paid it immediately. It took about 5 minutes and then the same shooter carried on. That was at the Grand Villa in Vancouver, BC. 2 players had $5 on it and several more had a buck, dealers had about 3 and were quite excited as well. Being Canada tax free money.
This is a policy I'd like to see for the U.S. side of the game: if all six points hit - then pay it out and take it down, as no further points can be made.
After the player sevens out, then re-open the bet.