SOLUTION: Suppose a number is chosen at random from the set {0,1,2,3,...,574}. What is the probability that the number is a perfect cube?

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Question 1192461: Suppose a number is chosen at random from the set {0,1,2,3,...,574}. What is the probability that the number is a perfect cube?
Answer by ikleyn(52775) About Me  (Show Source):
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The cube root of the number 574 is  root%283%2C574%29 = 8.31...


It means that there are 1+8 = 9 perfect cubes from 0 to 574, inclusive.


Therefore, the probability that a number chosen randomly from the set {0,1,2,3,...,574} is a perfect cube is


    P = 9%2F575 = 0.015652174   (rounded).    ANSWER

Solved.