SOLUTION: Suppose a number is chosen at random from the set {0,1,2,3,...,170}. What is the probability that the number is a perfect cube?

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Question 272158: Suppose a number is chosen at random from the set {0,1,2,3,...,170}.
What is the probability that the number is a perfect cube?

Answer by oberobic(2304) About Me  (Show Source):
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the set {0,1,2,...,170} has 171 elements.
.
of these, there are only 5 perfect cubes are:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
.
so the probability is 5/171