To find the probability of landing on an unshaded section when spinning a spinner labeled with the letters of the word "HONEST", we first need to know how many sections there are and how many of them are unshaded.
The word "HONEST" has 6 letters: H, O, N, E, S, and T. The spinner is divided into these 6 sections.
If no additional information is provided about which sections are shaded or unshaded, we can assume that if the spinner is not specifically described with shaded sections, all sections may be considered unshaded.
Since there are no unshaded sections mentioned, the probability of landing on an unshaded section cannot be determined from the given information, but if we assume every section is unshaded, the probability would be:
Total unshaded sections = 6 (assuming all are unshaded) Total sections = 6
Thus, the probability of landing on an unshaded section would be:
\[ P(\text{unshaded}) = \frac{\text{number of unshaded sections}}{\text{total sections}} = \frac{6}{6} = 1 \]
However, if none of the sections are unshaded, then the solution will vary.
If a specific count of unshaded sections is provided, we would adjust our probability calculation accordingly. Please check for which sections (letters) on the spinner are actually shaded to determine the precise probability.
With all sections counted as unshaded, you could choose options based on the assumption of half or a third from the decimal (1/2 or 1/3) and confirm if only certain letters (or sections) comprise the unshaded areas as specified. The simplest probability based simply on sections is \( \frac{1}{6} \) for landing on each specific section.