Question

An integer between 1 and 100 (both inclusive) is selected at random. Find the probability of selecting a perfect square. Also find the probability of selecting a perfect cube, if all integers are equally likely.

Answer 1

Answer:

Total number of integers=100

Among them perfect squares=(1,4,9,16,25,36,49,64,81,100)

So total number of perfect squares=10

Probability(perfect squares)=10/100=1/10

And among the integers cubes=(1,8,27,64)

Total number of cubes=4

Probability (cubes)=4/100=1/25