Question

You spin the spinner once.

234567


What is P(not prime)?

Write your answer as a percentage rounded to the nearest tenth.

Answer 1

To find the probability of spinning a number that is not prime from the spinner labeled with the numbers 2, 3, 4, 5, 6, and 7, we first need to identify which of these numbers are prime.

The prime numbers in this range are:
- 2
- 3
- 5
- 7

The non-prime numbers from the set {2, 3, 4, 5, 6, 7} are:
- 4 (not prime)
- 6 (not prime)

Now, we can summarize the numbers:
- Total numbers on spinner: 6 (2, 3, 4, 5, 6, 7)
- Prime numbers: 4 (2, 3, 5, 7)
- Non-prime numbers: 2 (4, 6)

Next, we calculate the probability of landing on a non-prime number:

\[
P(\text{not prime}) = \frac{\text{number of non-prime outcomes}}{\text{total outcomes}} = \frac{2}{6} = \frac{1}{3}
\]

To express this probability as a percentage, we multiply by 100:

\[
P(\text{not prime}) = \frac{1}{3} \times 100 \approx 33.3333\ldots
\]

Rounded to the nearest tenth, this is:

\[
\boxed{33.3}
\]