Question

you spin the spinner once. what is p(prime)? write your answer as a percentage.

Explanation:

Step1: Identify prime numbers

First, we identify prime numbers among 5, 7, 8, 9. Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. So, 5 and 7 are prime, 8 (divisible by 2,4) and 9 (divisible by 3) are not.

Step2: Count total and favorable outcomes

Total sections (outcomes): 4. Favorable outcomes (prime numbers): 2 (5 and 7).

Step3: Calculate probability

Probability \( P(\text{prime}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{4} = 0.5 \). To convert to percentage, multiply by 100: \( 0.5 \times 100 = 50\% \).

Answer:

\( 50\% \)