An integer is randomly chosen from the integers 1 through 100, inclusive. What is the probability that the chosen integer is a perfect square or a perfect cube?
100 choices
squares 1 4 9 16 25 36 49 64 81 100
cubes 1 8 27 64
13 out of 100 (Don't count 64 TWICE ! )
d'Oh! Don't count '1' twice either ! 12 out of 100