The probability that a number selected at random from the set of numbers {1, 2, 3, 4, ……, 100} is a cube or a square is :
Correct Answer: Option C
Total count of numbers, n(s) = 100
Numbers that are cubes = {1, 8, 27, 64}
Numbers that are squares = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
Numbers that are either suares or cubes or both = {1, 4, 8, 9, 16, 25, 27, 36, 49, 64, 81, 100}
Total count of such numbers, n(E) = 12
Required probablity \(= \;P\left( E \right) = \frac{{n\left( E \right)}}{{n\left( S \right)}} = \frac{{12}}{{100}} = \frac{3}{{25}}\)
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