Question

Pick up a natural number randomly uptp 100 find probability of the number being a perfect cube

Answer 1

There are four perfect cubes..1 8 27 64 ...
probability = 4/100 = 1/25.

Answer 2

here, total number of perfect cubes are :-
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64

1, 8, 27, 64 =4

so, in 1 - 100 numbers perfect cubes are 1, 8, 27, 64 only.

here, perfect cubes are only 4.

hence,
number of events n(E) = 4
total number of events n(S) = 100

We know,

P(E) = n(E)/n(S) = 4/100 = 1/25