mds
mds
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January 12th, 2014 at 12:29:20 PM permalink
What are the numbers on 3 7s or 11s in a row on the come out? Also, the same numbers on 3 2s or 3s in a row on the come out roll? Don't care about the 12..
sodawater
sodawater
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January 12th, 2014 at 12:36:15 PM permalink
6 ways to make a 7, 2 ways to make an 11.

three 7s or 11s in a row = (8/36)^3 = 8/729 ~1.1%

2 ways to make a 3, 1 way to make a 2.

three 2s or 3s in a row = (3/36)^3 = 1/1728 ~ 0.06%
7craps
7craps
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January 12th, 2014 at 12:59:30 PM permalink
I also get
for 7,11
P=8/36

1/(8/36)^3 = 1 in 91.125
this would be for the very next 3 come out rolls.

1 in 91 attempts on average
each attempt is not 1 come out roll in length
that would be 1+p+p^2 = 1.271604938 = length of each trial or attempt
multiply the two values = 115.88 come out rolls for the average or mean
the median = 81 come out rolls from the distribution

quick sim data

one could wait a long time to see 3 in a row.
is that good or bad?
the standard deviation is almost equal to the mean
grouped data
items: 1,000,000

minimum value: 3.00
first quartile: 35.00
median: 81.00
third quartile: 160.00
maximum value: 2017.00

mean value: 115.72
midrange: 1010.00

range: 2014.00
interquartile range: 125.00
mean abs deviation: 83.51

sample variance (n): 12903.52
sample variance (n-1): 12903.53
sample std dev (n): 113.59
sample std dev (n-1): 113.59


for 2,3
P=3/36
1/(3/36)^3 = 1 in 1,728
this would be for the very next 3 come out rolls.

1 in 1728 attempts on average
each attempt is not 1 come out roll in length
that would be 1+p+p^2 = 1.090277778 = length of each trial or attempt
multiply the two values = 1884 come out rolls for the average or mean
the median = 1307 come out rolls from the distribution

sim data
grouped data
items: 1,000,000

minimum value: 3.00
first quartile: 544.00
median: 1311.00
third quartile: 2610.00
maximum value: 27963.00

mean value: 1883.43
midrange: 13983.00

range: 27960.00
interquartile range: 2066.00
mean abs deviation: 1381.77

sample variance (n): 3526822.66
sample variance (n-1): 3526826.19
sample std dev (n): 1877.98
sample std dev (n-1): 1877.98


maybe this helps out
Good Luck
winsome johnny (not Win some johnny)
FleaStiff
FleaStiff
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January 12th, 2014 at 1:28:39 PM permalink
[Out of Thread .. Diversion]
Always meant to ask this...
"winsome johnny (not Win some johnny)".

Is this a quotation from somewhere. Are you referring to yourself as "winsome"? Its not technically incorrect but it is a word that is usually applied to females, particularly their smiles or personalities, though it can also be applied to an activity thought of as sweet and innocent. I've frankly never heard of a man being described as winsome much more being self described as such.

[/outofthread-diversion]
7craps
7craps
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January 12th, 2014 at 2:35:29 PM permalink
Quote: FleaStiff

[Out of Thread .. Diversion]
Always meant to ask this...
"winsome johnny (not Win some johnny)".

I have a friend that has a teenage son named Johnny.
she uses it so I had to look it up one day

here is an oldie


On Laura Nyro Stoney End, the censored single version and B-side of Wedding Bell Blues,
she wrote different lyrics because the name Jesus may have caused an unwanted stir at the time.
It was 1966 and
I was 10 and a winsome johnny at that time.

"I was born from love and my poor mother worked the mines
I was raised on the good book Jesus
Till I read between the lines"

Nyro's altered opening lines are
"I was born from love/ and I was raised on golden rules/ till the love of a winsome Johnny/ taught me love was made for fools."
Interestingly, Nyro would go on to use the uncommon word "winsome" on her next album in the closing track: ("Oh, I hate my winsome lover").
Laura Nyro Stoney End

we should know how Laura ended up feeling about guys and girls
either way
win some johnny
winsome johnny (not Win some johnny)
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