Question

You spin the spinner once.

3456


What is P(not prime)?

Write your answer as a fraction or whole number.

Answer 1

To determine \( P(\text{not prime}) \) when spinning the given spinner with numbers 3, 4, 5, and 6, we first need to identify which of these numbers are prime and which are not.

**Prime numbers:**
- 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: 3, 4, 5, and 6.
- **3**: This is a prime number (divisors are 1 and 3).
- **4**: This is not a prime number (divisors are 1, 2, and 4).
- **5**: This is a prime number (divisors are 1 and 5).
- **6**: This is not a prime number (divisors are 1, 2, 3, and 6).

So, the prime numbers on the spinner are 3 and 5, while the numbers that are not prime are 4 and 6.

Now, we can count the numbers:
- Total numbers on the spinner = 4 (3, 4, 5, 6)
- Not prime numbers = 2 (4, 6)

Now, we find the probability \( P(\text{not prime}) \):

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

Thus, the probability of spinning a number that is not prime is \(\frac{1}{2}\).