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) 1/3 1/2 3 1/6
1/3
How
To find the probability of landing on an unshaded section, we need to first identify how many sections are unshaded on the spinner.
In the word HONEST, there are 5 different letters - H, O, N, E, S. Each letter will be represented on the spinner, so there are a total of 5 sections on the spinner.
Out of these 5 sections, 2 letters (O and E) are vowel and the rest 3 letters (H, N, S) are consonants. Only the vowels O and E may be shaded based on the information provided in the question. Therefore, there are 3 unshaded sections on the spinner (H, N, S).
The probability of landing on an unshaded section is the number of unshaded sections divided by the total number of sections on the spinner. Therefore, the probability is 3 unshaded sections out of 5 total sections, which simplifies to 3/5 or 1/3.
Therefore, the correct answer is 1/3.