If you roll a fair die three times, what is the probability that none of your rolls is a number divisible by 3?
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1 Answer
Nov 3, 2015
Explanation:
When a fair die is thrown, the probability of getting each of the digit 1,2,3,4,5 and 6 is
Of these, digits divisible by 3 are 3 and 6.
Hence when you roll a fair die once, probability of getting a number divisible by 3 is#2/6# or#1/3# .
Probability of getting a number not divisible by 3 in one roll is#2/3#
Since the die is rolled 3 times, tje required probability is#(2/3)^3# or#8/27# .
