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Odds of rolling the same number on 5 out of 8 12-sided dice

 
 
Reply Thu 29 Nov, 2018 02:46 pm
If you roll eight 12-sided dice at one time, what is the chance that you get five of ANY one number? What is the chance that you get five of a SPECIFIC number, say, number 2?
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Type: Question • Score: 0 • Views: 160 • Replies: 3
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McGentrix
 
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Reply Thu 29 Nov, 2018 03:39 pm
@jakemoran,
What does your math book say?
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engineer
 
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Reply Thu 29 Nov, 2018 05:34 pm
@jakemoran,
The chance of rolling exactly five straight 1's then three numbers that are not 1's is:

(1/12)^5 (11/12)^3 = 3.095e-6

The chance of rolling five one's in any position is that value times 8!/5!/3! = 1.733e-4

The chance of getting any number (not just 1) is that value times 12 = .0021 or 0.21%.
jakemoran
 
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Reply Sat 1 Dec, 2018 12:33 pm
@engineer,
@engineer thank you for the response!
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