Use the image to answer the question.

A wheel is divided into 6 segments from the center toward circumference and labeled from the left as S, T, H, O, N, and E. The arrow of a needle points to O on the right and the circular end points to S on the left.

A spinner labeled with the letters of the word HONEST is to be spun once. Describe the probability of landing on an unshaded section in the sample space. there are 3 unshaded

(1 point)
Responses

16
Start Fraction 1 over 6 End Fraction

12
Start Fraction 1 over 2 End Fraction

13
Start Fraction 1 over 3 End Fraction

3

1 answer

To determine the probability of landing on an unshaded section when the spinner is spun, you'll need to consider the total number of segments and how many of those segments are unshaded.

In the spinner labeled with the letters from the word "HONEST," there are 6 segments total (H, O, N, E, S, T). According to your description, there are 3 segments that are unshaded.

The probability \( P \) of landing on an unshaded section is calculated using the formula:

\[ P(\text{unshaded}) = \frac{\text{Number of unshaded segments}}{\text{Total number of segments}} \]

Plugging in the values:

\[ P(\text{unshaded}) = \frac{3}{6} = \frac{1}{2} \]

Therefore, the correct response for the probability of landing on an unshaded section is:

12 Start Fraction 1 over 2 End Fraction