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.
Since we are not given information about any shaded sections on the spinner, we can assume that all sections are unshaded.
The sample space for spinning the HONEST spinner consists of the letters H, O, N, E, S, and T.
There is only one way to land on each letter, so each letter has a probability of 1/6 of being landed on.
Since all sections are unshaded, the probability of landing on an unshaded section is the same as the probability of landing on any letter, or 1/6.
Therefore, the probability of landing on an unshaded section in the sample space is 1/6.
To determine the probability of landing on an unshaded section in the sample space, we need to first determine the total number of possible outcomes.
The spinner is labeled with the letters of the word HONEST. There are 6 letters in total.
The sample space is the set of all possible outcomes, which in this case is the set of all letters on the spinner.
The spinner has an unshaded section for each letter, so there are no shaded sections.
Therefore, the probability of landing on an unshaded section in the sample space is 1 (since all sections are unshaded) out of the total number of possible outcomes, which is 6.
So, the probability is 1/6.