Question

you spin the spinner once. what is p(prime)? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Identify prime numbers

The numbers on the spinner are 4, 5, 6. Prime numbers among them are 5 (since a prime number has only two distinct positive divisors: 1 and itself, 4 = 2×2 and 6=2×3 are not prime).

Step2: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of outcomes is 3 (the three - numbered sections on the spinner), and the number of favorable outcomes (prime numbers) is 1. So $P(\text{prime})=\frac{1}{3}$.

Answer:

$\frac{1}{3}$