H S an E are shaded on the wheel T O and N are not shaded on the wheel 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

Question

H S an E are shaded on the wheel T O and N are not shaded on the wheel 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

• 3
• 1/6
• 1/2
• 1/3

Answer 1

There are a total of 6 letters in the word HONEST: H, O, N, E, S, T. Since only H, S, and E are shaded on the wheel, there are 3 unshaded sections (O, N, T) in the sample space.

Therefore, the probability of landing on an unshaded section when spinning the wheel once is 3 out of 6, which simplifies to 1/2.

So the correct answer is:
• 1/2