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.

(1 point)
Responses

3
3

13
Start Fraction 1 over 3 End Fraction

16
Start Fraction 1 over 6 End Fraction

12
Start Fraction 1 over 2 End Fraction
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1 answer

To determine the probability of landing on an unshaded section in the sample space when spinning the spinner labeled with the letters of the word "HONEST," we need to analyze the components involved.

The letters in "HONEST" are:

  • H
  • O
  • N
  • E
  • S
  • T

This means that there are 6 segments in total on the spinner.

  1. Count the unshaded sections: Based on the information given, we are not provided details about which sections are shaded or unshaded. However, in previous context, if we consider a standard case where no particular shading is mentioned, we may assume that all sections are unshaded.

  2. Calculate the probability:

    • The number of favorable outcomes (unshaded sections) = 6 (if all are unshaded).
    • The total number of possible outcomes (total sections) = 6.

Thus, the probability (P) can be calculated as follows:

\[ P(\text{landing on unshaded section}) = \frac{\text{Number of unshaded sections}}{\text{Total sections}} = \frac{6}{6} = 1 \]

Since the question specifies a 1 point answer and matches the spinner labeled with "HONEST" being all possible unshaded options, we can conclude:

The probability of landing on an unshaded section in the sample space is:

1 (or Start Fraction 1 over 1 End Fraction).

However, if you look for fractions, the representation closest to certainty within options would be 1, but if the specific question intends for discerning between the given choices, you'd choose Start Fraction 1 over 6 End Fraction if only one segment was unshaded based on how the question differentiates.