SOLUTION: Six different colored dice are rolled. Of interest is the number of dice that show a "1." Find the probability that all six dice show a "1." (Round your answer to five decimal pla

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Question 1206688: Six different colored dice are rolled. Of interest is the number of dice that show a "1."
Find the probability that all six dice show a "1." (Round your answer to five decimal places.)

Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

This probability is  P = %281%2F6%29%5E6 = 0.0000214335,  or  0.00002, rounded to five decimal places.   ANSWER

Solved.




Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

n = 6 = number of sides of each dice
m = 6 = number of dice

n^m = 6^6 = 46656 different ways to roll those dice.
Only one of those consists of all 1's.

1/46656 = 0.000021433471 which rounds to 0.00002