The first 100 integers are: 1, 2, 3, 4, ..., 100
Total integers = 100
A perfect cube is a number that can be expressed as n3 where n is an integer.
The perfect cubes from 1 to 100:
13=1
23=8
33=27
43=64
53=125 (exceeds 100)
Perfect cubes from 1 to 100: {1, 8, 27, 64}
Total perfect cubes = 4
Probability = Total number of outcomesNumber of favorable outcomes
Probability = 1004
Probability = 251
Therefore, the probability that a randomly chosen number from the first 100 integers is a perfect cube is 251.