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Question
Write the probability that a number selected at random from the set of first 100 natural numbers is a cube.
Solution
\[\text{ Number of cubes in first 100 natural numbers } =1, 8, 27, 64\]
\[\text{ So, there are 4 cubes in first 100 natural numbers.} \]
\[P\left( \text{ getting a cube from a set of first 100 natural numbers }\right) = \frac{4}{100}\]
\[ = \frac{1}{25}\]
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