ChumpChange
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June 6th, 2020 at 11:49:03 PM permalink
The odds of getting a point is always 40.61% no matter how many points the shooter has rolled in the past.
ChumpChange
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June 6th, 2020 at 11:53:59 PM permalink
Average Number of Points Hit Per Shooter in Craps discussed in Gambling/Questions and Answers at Wizard of Vegas https://wizardofvegas.com/forum/questions-and-answers/gambling/3146-average-number-of-points-hit-per-shooter-in-craps/
charliepatrick
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June 7th, 2020 at 12:47:18 AM permalink
Quote: ChumpChange

The odds of getting a point is always 40.61% no matter how many points the shooter has rolled in the past.

What you quote is the chances, given you are now throwing for your point, of making it.
Out of 495 outcomes ...
110
Natural winner (7 or 11)
55
Craps (2 3 or 12)
134
Point made
196
7-out

So the chances of making a point given you've established one is 134 / 330 (40.61%).
ChumpChange
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June 7th, 2020 at 12:53:56 AM permalink
Why do don't pass betters get shortchanged on laying odds versus pass line players? discussed in Craps/Gambling at Wizard of Vegas https://wizardofvegas.com/forum/gambling/craps/12642-why-do-dont-pass-betters-get-shortchanged-on-laying-odds-versus-pass-line-players/#post210393
ChumpChange
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June 7th, 2020 at 1:16:57 AM permalink
I'm trying to figure out what the chances are of winning at least strictly x odds bets in a row.
I don't know how to figure out the Don't side yet. I just multiplied on the Do side by 40.61% each time starting at 1 odds win.
I get the feeling I can win 6 Don't Odds bets in a row a lot easier than I can win 6 Do Odds bets in a row.










PL Odds Chance DP Odds Chance
0 59.39% 0 %
1 40.61% 1 %
2 16.49% 2 %
3 6.70% 3 %
4 2.72% 4 %
5 1.10% 5 %
6 0.45% 6 %
7 0.18% 7 %
8 0.07% 8 %
9 0.03% 9 %
10 0.01% 10 %
Last edited by: ChumpChange on Jun 7, 2020
ChesterDog
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June 7th, 2020 at 11:46:08 AM permalink
Quote: ChumpChange

...I'm trying to figure out what the chances are of winning at least strictly x odds bets in a row.
I don't know how to figure out the Don't side yet. I just multiplied on the Do side by 40.61% each time starting at 1 odds win.
I get the feeling I can win 6 Don't Odds bets in a row a lot easier than I can win 6 Do Odds bets in a row.



I modified your table by multiplying each of your 1-10 PL chance percentages by 0.5939. This reflects the fact that each streak of points made ends with a seven-out. (Now, the sum of the chances for 0 to 10 passes is close to 100%.)

Also, if you do (0)(59.39%) + (1)(24.12%) + (2)(9.79%) + (3)(3.98%) + … + (10)(0.01%), you'll get about 0.68, which is the expected number of points made before a seven-out. A quicker way to get 0.68 is 40.61% / 59.39%.

I filled in your DP chances. These numbers can be used to find the number of successful don't pass bets: 1.46. (And 1.46 is 59.39% / 40.61%.) And from the table, we can see you're right--a streak of 6 don't passes is a lot easier than a streak of 6 passes.








PL Odds Chance DP Odds Chance
0 59.39% 0 40.61%
1 24.12% 1 24.12%
2 9.79% 2 14.32%
3 3.98% 3 8.51%
4 1.61% 4 5.05%
5 0.66% 5 3.00%
6 0.27% 6 1.78%
7 0.11% 7 1.06%
8 0.04% 8 0.63%
9 0.02% 9 0.37%
10 0.01% 10 0.22%
ChumpChange
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June 7th, 2020 at 11:59:25 AM permalink
So my chances of winning 10 Don't Pass odds bets in a row is in the neighborhood of winning 6 Pass Line odds bets in a row?
It's funny that the chances of winning 1 odds bet on either side is the exact same.
I'm 10 times more likely to hit 7 DP odds bets in a row versus 7 PL odds bets in a row. Guess which odds progression I'll use; the one for 7 in a row on the Don't side.

So on the PL side, I start with 0.5939 and keep multiplying by 0.4061.
On the DP side, I start with 0.4061 and keep multiplying by 0.5939.
Last edited by: ChumpChange on Jun 7, 2020
ThatDonGuy
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June 7th, 2020 at 3:06:17 PM permalink
Quote: ChumpChange

It's funny that the chances of winning 1 odds bet on either side is the exact same.


Not funny at all. The odds of making a point followed by missing one are the same as the odds of missing a point followed by making one.

Quote: ChumpChange

I'm 10 times more likely to hit 7 DP odds bets in a row versus 7 PL odds bets in a row. Guess which odds progression I'll use; the one for 7 in a row on the Don't side.


Just remember that Pass Line odds bets always pay 6-5 or better, whereas DP odds bets always pay 5-6 or worse.
DeMango
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June 7th, 2020 at 3:22:58 PM permalink
So based on 249 rolls per hour, how many decisions, come out and point cycle, are there in total?
When a rock is thrown into a pack of dogs, the one that yells the loudest is the one who got hit.
ChumpChange
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June 7th, 2020 at 8:18:40 PM permalink
Yeah, that's so much WinCraps. I'll have to slow my roll at the tables and settle for a 6 in a row progression.
ChumpChange
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June 7th, 2020 at 9:00:12 PM permalink
https://forumserver.twoplustwo.com/25/probability/odds-rolling-6-sixes-eights-before-7-craps-1321458/

Re: Odds of rolling 6 sixes (or eights) before a 7 in craps
(5/11)^6 * 6/11 =~ 0.48%

6 is a 6:5 underdog to occur before a 7 since there are 6 ways to make a 7 and only 5 ways to make a 6, so the probability of occurring before the next 7 is 5/11, 6 times in a row (5/11)^6, and then the probability of a 7 occurring before the next 6 is 6/11.

EDIT: Above is for exactly 6 sixes. For 6 or more it is just (5/11)^6 =~ 0.88%.
ChesterDog
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June 7th, 2020 at 9:42:38 PM permalink
Quote: DeMango

So based on 249 rolls per hour, how many decisions, come out and point cycle, are there in total?



That's about 74 decisions/hour.

Do 249 * 165 / 557 or about 249 / 3.38.

See https://wizardofvegas.com/forum/gambling/craps/34755-avg-no-of-rolls-decision/#post771082

How many rolls per hour do we see at a busy table?
DeMango
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June 7th, 2020 at 10:49:07 PM permalink
Quote: ChesterDog

That's about 74 decisions/hour.

Do 249 * 165 / 557 or about 249 / 3.38.

See https://wizardofvegas.com/forum/gambling/craps/34755-avg-no-of-rolls-decision/#post771082

How many rolls per hour do we see at a busy table?

I understand 74 decisions. Are wins, losses about even? You lose 60% on points, and win 66% on come outs.

Don't care to know how many rolls on a busy table, avoid them like the plague.
When a rock is thrown into a pack of dogs, the one that yells the loudest is the one who got hit.
ChesterDog
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June 8th, 2020 at 1:14:25 PM permalink
Quote: DeMango

Quote: ChesterDog

That's about 74 decisions/hour.

Do 249 * 165 / 557 or about 249 / 3.38.

See https://wizardofvegas.com/forum/gambling/craps/34755-avg-no-of-rolls-decision/#post771082

How many rolls per hour do we see at a busy table?

I understand 74 decisions. Are wins, losses about even? You lose 60% on points, and win 66% on come outs.

Don't care to know how many rolls on a busy table, avoid them like the plague.



Of 74 decisions per hour, you win an average of about 16 on the come out roll and 20 with a point.

(And more precisely, of 73.8 decisions per hour, pass bets win about 16.4 on the come out and 20.0 with a point. They would lose an average of 8.2 times on the come out and 29.2 with a point.)
DeMango
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June 8th, 2020 at 5:15:17 PM permalink
Thank you very much. Amazing I've never seen it put this way, more than 15 years into my online craps journey.
When a rock is thrown into a pack of dogs, the one that yells the loudest is the one who got hit.
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