Question

there is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?

Explanation:

Step1: Find multiples of 3 and 4

Multiples of 3 from 1 - 15 are 3, 6, 9, 12, 15. Multiples of 4 from 1 - 15 are 4, 8, 12. The common multiple is 12. So there is 1 number that is a multiple of 3 and 4.

Step2: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of outcomes is 15. Favorable outcomes is 1. So $P=\frac{1}{15}$.

Answer:

$\frac{1}{15}$