Question

what is the probability of the spinner stopping on a vowel if you spin it one time? 1/8 3/8 5/8 3/4

Explanation:

Step1: Identify vowel - labeled sections

The vowels are a, e, i, o, u. In the spinner, the vowel - labeled sections are e and o.

Step2: Calculate total sections and vowel - labeled sections

The spinner has 8 equal - sized sections. The number of vowel - labeled sections is 2.

Step3: Use probability formula

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (landing on a vowel) is 2 and the total number of outcomes is 8. So $P=\frac{2}{8}=\frac{1}{4}$. Since $\frac{1}{4}=\frac{2}{8}$, the probability of the spinner stopping on a vowel is $\frac{1}{4}$ or $\frac{2}{8}$. But among the given options, we need to simplify. $\frac{2}{8}=\frac{1}{4}$ which is not in the options. If we consider the non - simplified form in terms of the denominator 8, the equivalent fraction for $\frac{1}{4}$ with denominator 8 is $\frac{2}{8}$. But if we assume there is a mistake in the options and we consider the closest correct form among the given ones, we note that $\frac{3}{8}$ is incorrect, $\frac{5}{8}$ is incorrect, $\frac{3}{4}$ is incorrect. The closest interpretation (assuming a mis - labeling of options) and using the correct probability calculation of $\frac{\text{number of vowel sections}}{\text{total sections}}=\frac{2}{8}=\frac{1}{4}$ (closest related option in form) would be that we might consider the intention was to have $\frac{3}{8}$ as an incorrect option and the correct answer should be $\frac{1}{4}$ which is not present. But if we go by the fraction with denominator 8 and closest to the correct value, we note that the correct probability calculation gives us a fraction that is equivalent to $\frac{2}{8}$. Since we are forced to choose from the given options and the correct value should be $\frac{2}{8}$ (equivalent to $\frac{1}{4}$) and the closest in form among the options is $\frac{3}{8}$ which is wrong in value but closest in form, we assume there is an error in the options. However, if we calculate correctly:
The probability $P = \frac{2}{8}=\frac{1}{4}$. If we assume we need to choose the closest in form among the given options, we note that the correct answer based on the formula $P=\frac{\text{number of vowel sections}}{\text{total number of sections}}=\frac{2}{8}$.

Answer:

$\frac{1}{4}$ (not in options, but correct value based on probability formula: $\frac{\text{number of vowel - labeled sections}(2)}{\text{total number of sections}(8)}$)