Question

You spin the spinner once.

23456789


What is P(not prime)?

Write your answer as a percentage.

%

Answer 1

To determine the probability of spinning a number that is not prime on the spinner labeled with the numbers 2, 3, 4, 5, 6, 7, 8, and 9, we first need to identify which of these numbers are prime.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

The numbers on the spinner are:
- 2 (prime)
- 3 (prime)
- 4 (not prime)
- 5 (prime)
- 6 (not prime)
- 7 (prime)
- 8 (not prime)
- 9 (not prime)

Now let's categorize them:

**Prime Numbers: 2, 3, 5, 7** (4 prime numbers)
**Not Prime Numbers: 4, 6, 8, 9** (4 not prime numbers)

Now, we can compute the probability of spinning a number that is not prime:

1. Total outcomes (total numbers on the spinner) = 8
2. Favorable outcomes (not prime numbers) = 4

The probability \( P(\text{not prime}) \) is given by the formula:

\[
P(\text{not prime}) = \frac{\text{Number of not prime numbers}}{\text{Total numbers}} = \frac{4}{8} = \frac{1}{2}
\]

To express this as a percentage:

\[
P(\text{not prime}) = \frac{1}{2} \times 100 = 50\%
\]

Thus, the probability of spinning a number that is not prime is **50%**.