A bag contains 100 cards numbered 1 to 100. A card is drawn at random from the bag. What is the probability that the number on the card is a perfect cube?
(a) $\frac{1}{20}$
(b) $\frac{3}{50}$
(c) $\f

Question

A bag contains 100 cards numbered 1 to 100. A card is drawn at random from the bag. What is the probability that the number on the card is a perfect cube?
(a) $\frac{1}{20}$
(b) $\frac{3}{50}$
(c) $\frac{1}{25}$
(d) $\frac{7}{100}$

Accepted Answer

Step 1: Perfect cubes from 1 to 100: $1, 8, 27, 64$ (4 numbers). $P = \frac{4}{100} = \frac{1}{25}$

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