Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability of a number which is a perfect cube.

Answer 1

cards from 1 to 101 would be 101
so cards from 2 to 101 is 100

list of primes between 2 and 101 :
4,9,16,25,36,49,64,81,100

count the perfect squares

finish it up

Answer 2

or, count the cubes: 8,27,64

Answer 3

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