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AR15.COM
11/24/2009 4:28:58 PM EDT
There are 3 10 sided dice, numbered zero through 9.  They must land in ORDER of red, white, blue according to dice color to win.  What is the probability of win with any random number?  I will throw 007 out as a target number.

Thanks!
11/24/2009 4:30:57 PM EDT
[#1]
You made my head hurt...
11/24/2009 4:31:59 PM EDT
[#2]
1 in a 1000
11/24/2009 4:32:49 PM EDT
[#3]
I'm not sure I understand the question, do you have one red die, one blue die, and one white die?
11/24/2009 4:33:23 PM EDT
[#4]
(1/6)*(1/10)*(1/10)*(1/10) = 1/6000
11/24/2009 4:33:24 PM EDT
[#5]



Quoted:


You made my head hurt...


I cried a little bit.  



 
11/24/2009 4:34:20 PM EDT
[#6]
Quoted:
I'm not sure I understand the question, do you have one red die, one blue die, and one white die?


Yes.  And they must land in order of red white blue according to the called number.
11/24/2009 4:35:12 PM EDT
[#7]
The question needs some more details.  Are you saying that not only do you have to roll a certain number (such as 7) when adding up all the spots on the dices, the dice must also fall in a set order to win?

So, rolling a seven with red, blue, white wins, but seven with a red, white, blue loses?



Never mind - question answered as I was typing.
11/24/2009 4:37:39 PM EDT
[#8]
reds are 'hundreds'

whites are 'tens'

blues are 'singles'



To get 007



you will need a 0 red, a 0 white, and a 7 blue.



That will occur once in out of the thousand possible combinations of 3 10 sided die.
11/24/2009 4:39:22 PM EDT
[#9]
Quoted:
The question needs some more details.  Are you saying that not only do you have to roll a certain number (such as 7) when adding up all the spots on the dices, the dice must also fall in a set order to win?

So, rolling a seven with red, blue, white wins, but seven with a red, white, blue loses?



Never mind - question answered as I was typing.


No, worse than that.  It is not a sum number, but a sequence.  Like "1,2,3", in order, of red white blue to 10 sided dice color.  See?  Not so simple.  I'm in a debate, RIGHT NOW, at the bar on this.  ArfCom help meh!
11/24/2009 4:40:35 PM EDT
[#10]
Quoted:
reds are 'hundreds'
whites are 'tens'
blues are 'singles'

To get 007

you will need a 0 red, a 0 white, and a 7 blue.

That will occur once in out of the thousand possible combinations of 3 10 sided die.


This is correct
11/24/2009 4:43:01 PM EDT
[#11]
1st digit 9 fails
2nd digit 9 fails
3rd digit 9 fails
or...
729:1 against
or I could be mixing up my combinations and permutations



ETA:  I am.



red die, 1 match, 9 fails / 10 possible



white die, 1 match, 9 fails / 10 possible



blue die, 1 match, 9 fails / 10 possible



1 : 999 against.
 
 

 
11/24/2009 4:48:43 PM EDT
[#12]





Quoted:





Quoted:


reds are 'hundreds'


whites are 'tens'


blues are 'singles'





To get 007





you will need a 0 red, a 0 white, and a 7 blue.





That will occur once in out of the thousand possible combinations of 3 10 sided die.






This is correct
No, it's not. From the shaker, the red must come out first, then the white, then the blue. There are 6 different combinations for the colors of the dice to appear, so there are 6000 different outcomes possible.



To get 0 0 7, there is a 1/6000 probability.
 
11/24/2009 4:52:42 PM EDT
[#13]



Quoted:





Quoted:


Quoted:

reds are 'hundreds'

whites are 'tens'

blues are 'singles'



To get 007



you will need a 0 red, a 0 white, and a 7 blue.



That will occur once in out of the thousand possible combinations of 3 10 sided die.




This is correct
No, it's not. From the shaker, the red must come out first, then the white, then the blue. There are 6 different combinations for the colors of the dice to appear, so there are 6000 different outcomes possible.



To get 0 0 7, there is a 1/6000 probability.



 


This.  Not mine.  




 
11/24/2009 5:02:07 PM EDT
[#14]
1/6000 is what I got too.



1/3 chance the first dice is Red. 1/10 chance it's 0.



1/2 chance the second dice is white. 1/10 chance it's 0.



1/1 chance the third dice is blue. 1/10 chance it's 7.



1/3 x 1/10 x 1/2 x 1/10 x 1/1 x 1/10



3x10x2x10x1x10 = 6000



1/6000
11/24/2009 5:06:42 PM EDT
[#15]

Okay I thought about this a bit more and I am on board with the 6000:1  because there are only one white, one red, and one blue die.
11/24/2009 5:35:41 PM EDT
[#16]
at least 87 to 1
11/24/2009 7:21:52 PM EDT
[#17]
Quoted:
1 in a 1000


this
11/25/2009 6:07:39 AM EDT
[#18]



Quoted:



Quoted:

1 in a 1000




this
No. Read the thread.





 
11/25/2009 6:29:05 AM EDT
[#19]
Read Blaise Pascals On the Arithmetical Triangle
11/25/2009 6:37:05 AM EDT
[#20]
let's see if I'm getting this right

you have 3 dice with 10 sides each

one die is red, one die is white, one die is blue

to win, they must land in the color order red-white-blue, creating any random number with their digits.


I'd say it's 100% that you can throw them to land consecutively in the color pattern to win. Just toss the red first, followed by the white, then the blue.




edit:
bah, your original problem didn't state you had to match a number to win, just ordering of colors. Further in the thread you change the rules so you have to match a called number also. Must've been a drinkin game.

Quoted:
There are 3 10 sided dice, numbered zero through 9.  They must land in ORDER of red, white, blue according to dice color to win.  What is the probability of win with any random number?  I will throw 007 out as a target number.

Thanks!


11/25/2009 6:39:11 AM EDT
[#21]
Quoted:
Read Blaise Pascals On the Arithmetical Triangle


Shouldn't he learn French first?