Question

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) 1 2 1 3 3 1 6

Answers

GPT-4o mini
To determine the probability of landing on an unshaded section of the spinner labeled with the letters of the word "HONEST", we first need to define the sample space and the favorable outcomes.

The word "HONEST" consists of the letters: H, O, N, E, S, and T. There are a total of 6 different letters, which means the sample space consists of 6 possible outcomes: {H, O, N, E, S, T}.

If the spinner is divided into shaded and unshaded sections, we need to identify how many of these sections are unshaded. However, your question does not specify which sections are shaded or unshaded.

Assuming that all sections are unshaded (i.e., no sections are shaded), the probability of landing on an unshaded section is 1 (or 100%) because all possible outcomes (6) are unshaded.

If you provide more information about which sections are shaded, we can refine the calculation. For example, if there are 2 shaded sections and 4 unshaded sections, the probability of landing on an unshaded section would be calculated as follows:

\[
\text{Probability of landing on an unshaded section} = \frac{\text{Number of unshaded sections}}{\text{Total number of sections}} = \frac{4}{6} = \frac{2}{3}.
\]

Please specify the details regarding the shaded and unshaded sections for an accurate calculation.