Question

example 4: the spinner shown is divided into congruent sections that are labeled from 1 through 7. if the spinner is spun one time, what is the probability of the arrow not landing on a section labeled with an even number?
a (\frac{4}{7})
b (\frac{3}{4})
c (\frac{1}{4})
d (\frac{3}{7})

Explanation:

Step1: Count total sections

Total sections = 7 (labels 1-7)

Step2: Identify even numbers

Even numbers: 2, 4, 6 → Count = 3

Step3: Calculate non-even count

Non-even count = $7 - 3 = 4$

Step4: Compute probability

Probability = $\frac{\text{Non-even count}}{\text{Total count}} = \frac{4}{7}$

Answer:

A. $\frac{4}{7}$