Question

An integer is chosen at random from $1$ to $50$. Find the probability that the number is a perfect cube.

Answer 1

Given that we have to choose a number from $1$ to $50$.

Then the total number of outcomes $=50$

According to the question,

Numbers that are perfect cube from $1$ to $50$ are $1,8,27$

Then the total number of favorable outcomes $=3$

We know that $\mathrm{Probability}=\frac{\mathrm{number}\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{outcomes}}$

$=\frac{3}{50}$

Therefore the required probability is $\frac{3}{50}$.