Discussion
If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -.
Answer: A
The perfect cubes up to 100 are
\[ 1^{3} = 1,\quad 2^{3} = 8,\quad 3^{3} = 27,\quad 4^{3} = 64 \]
since \( 5^{3} = 125 \) is already too large.
\[ P = \frac{4}{100} = \frac{1}{25} \]
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