Expert: Ahmed Salami - 5/22/2004

Question
What the chances of rolling six sets of 18s, by rolling (3 six-sided die) six times?

Answer
Hi,
When 3 six-sided dice are thrown once each of the die can give six different outcomes and we therefore have 6^3 possible outcomes for the combination of the three dice.
The chance of getting a total of 18 is only one out of this number of outcomes thereby giving us a probalility of
1/(6^3)
For six throws the probability of getting a total of 18 each time would therefore be |1/(6^3)|^6 = 1/(6^18)
This is the same probability of getting a six on each die when 18 of them are thrown all at once.

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