Question

you spin the spinner once. what is p(prime or factor of 15)? write your answer as a percentage.

Explanation:

Step1: Identify prime numbers and factors of 15

The numbers on the spinner are 1, 2, 3. Prime numbers among them are 2, 3. Factors of 15 are 1, 3. The set of prime or factor of 15 is {1, 2, 3}.

Step2: Calculate the probability

The total number of possible outcomes when spinning the spinner is 3. The number of favorable outcomes (prime or factor of 15) is 3. The probability formula is $P(A)=\frac{n(A)}{n(S)}$, where $n(A)$ is the number of favorable outcomes and $n(S)$ is the total number of outcomes. So $P=\frac{3}{3}=1$.

Step3: Convert to percentage

To convert the probability to a percentage, we multiply by 100. So $1\times100 = 100\%$.

Answer:

100%