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Calculate odds of 16 sided dice

 
 
Reply Thu 16 Feb, 2017 07:02 am
There is a dice with 16 sides. The sides are A,B,C,D,E,F,0,1,2,3,4,5,6,7,8,9.

If you were to roll the dice 17,228,429,039 times, what are the odds of rolling the dice in this exact sequence at least once: 2BB81FE7

PLEASE and THANK YOU...
 
View best answer, chosen by gamblingdude1234
gamblingdude1234
 
  1  
Reply Thu 16 Feb, 2017 02:40 pm
@gamblingdude1234,
This is a tough one. There is actually a legitimate business purpose for needing to know this. I would really appreciate any guidance on solving this.
0 Replies
 
engineer
  Selected Answer
 
  3  
Reply Thu 16 Feb, 2017 06:07 pm
@gamblingdude1234,
The probability of getting the sequence you want (doesn't matter what it is) is

P = 1/16^8

The number of eight digit combinations formed is

N= 17,228,429,032.

The probability of NOT getting your roll is (1-P)^N = 1.8%
The probability of getting it at least once is 98.2%
ossobucotemp
 
  1  
Reply Thu 16 Feb, 2017 06:17 pm
@engineer,
Hey, there's engineer - glad to see you back!
roger
 
  1  
Reply Thu 16 Feb, 2017 07:14 pm
@ossobucotemp,
and about cottin' pickin' time, I might add.
0 Replies
 
gamblingdude1234
 
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Reply Fri 17 Feb, 2017 06:08 pm
@engineer,
Thank you very much!!!
0 Replies
 
 

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