Question

a data set of three numbers is shown. if a number from this data set is selected at random, what is the probability of selecting a negative number? -13, 4, 23

Explanation:

Step1: Determine the number of negative numbers

There is 1 negative number ($- 13$) in the data set $\{-13,4,23\}$.

Step2: Use the probability formula

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (selecting a negative number) is $1$, and the total number of outcomes (total numbers in the data set) is $3$. So, $P = \frac{1}{3}$.

Answer:

B. $\frac{1}{3}$