SOLUTION: If you roll eight fair dice, what is the probability that at least one of them shows a six? Write your answer as a decimal, rounded to three significant figures.

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Question 1185518: If you roll eight fair dice, what is the probability that at least one of them shows a six?
Write your answer as a decimal, rounded to three significant figures.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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If you roll eight fair dice, what is the probability that at least one of them shows a six?
Write your answer as a decimal, rounded to three significant figures.
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The probability that one single die is not 6  is  5%2F6.


The probability that of 8 fair dice, no one is 6 equals to  %285%2F6%29%5E8 = 0.232568...


The probability that of 8 fair dice at least one is 6 is the complement


    P = 1 - %285%2F6%29%5E8 = 1 - 0.232568... = 0.767432... = 0.7674   (rounded)    ANSWER

Solved.