Question

example 4: the spinner shown is divided into congruent sections. if the spinner is spun one time, what is the probability of the arrow not landing on a section labeled with a vowel or the letter d? a. ¼ b. ⅜ c. ⅝ d. ½

Explanation:

Step1: Count total sections

Total congruent sections = 8

Step2: Identify target sections

First, find sections that ARE vowel or D: vowels are A (2 sections), D (2 sections). Total favorable for "vowel or D" = $2+2=4$

Step3: Calculate unwanted sections

Sections NOT vowel or D: $8-4=4$

Step4: Compute probability

Probability = $\frac{\text{Unwanted sections}}{\text{Total sections}} = \frac{4}{8} = \frac{1}{2}$

Answer:

D. ½