select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that…

select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. $\frac{1}{2}$ b. $\frac{3}{20}$ c. $\frac{3}{10}$ d. $\frac{1}{5}$ e. $\frac{1}{3}$

select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. $\frac{1}{2}$ b. $\frac{3}{20}$ c. $\frac{3}{10}$ d. $\frac{1}{5}$ e. $\frac{1}{3}$

Answer

Explanation:

Step1: Find squares of natural numbers in range

The squares of natural numbers in the range 1 - 20 are $1 = 1^2$, $4=2^2$, $9 = 3^2$, $16=4^2$. So there are 4 such numbers.

Step2: Calculate probability

The total number of possible outcomes is 20 (numbers from 1 - 20). Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{4}{20}=\frac{1}{5}$.

Answer:

D. $\frac{1}{5}$