Question

there is a spinner with 12 equal areas, numbered 1 through 12. if the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?

Explanation:

Step1: Find common multiples of 6 and 4

Multiples of 6 (1 - 12): 6, 12
Multiples of 4 (1 - 12): 4, 8, 12
Common multiple: 12 (only 1 number)

Step2: Calculate probability

Total outcomes = 12, Favorable outcomes = 1
Probability = $\frac{\text{Favorable}}{\text{Total}} = \frac{1}{12}$

Answer:

$\frac{1}{12}$