Question: You spin the spinner once.
1234567
What is P(prime)?
Write your answer as a fraction or whole number.
1. **State the problem:** We have a spinner with numbers $1, 2, 3, 4, 5, 6, 7$ and we want to find the probability $P(\text{prime})$ that the spinner lands on a prime number.
2. **Identify prime numbers:** Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. From the numbers on the spinner, the prime numbers are $2, 3, 5, 7$.
3. **Count total outcomes:** There are $7$ numbers on the spinner, so total possible outcomes $= 7$.
4. **Count favorable outcomes:** The prime numbers are $2, 3, 5, 7$, so favorable outcomes $= 4$.
5. **Calculate probability:**
$$
P(\text{prime}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} = \frac{4}{7}
$$
6. **Final answer:** The probability of spinning a prime number is $\boxed{\frac{4}{7}}$.