you spin the spinner once. what is p(not prime)? simplify your answer and write it as a fraction or whole…

you spin the spinner once. what is p(not prime)? simplify your answer and write it as a fraction or whole number.

you spin the spinner once. what is p(not prime)? simplify your answer and write it as a fraction or whole number.

Answer

Explanation:

Step1: Identify prime and non - prime numbers

The numbers on the spinner are 7, 8, 9. Prime numbers have only two distinct positive divisors: 1 and itself. 7 is prime (divisors 1 and 7), 8 is non - prime (divisors 1, 2, 4, 8), 9 is non - prime (divisors 1, 3, 9).

Step2: Calculate the probability

The total number of outcomes is 3. The number of non - prime outcomes is 2. The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(\text{not prime})=\frac{2}{3}$.

Answer:

$\frac{2}{3}$