there is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the…

there is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?

there is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?

Answer

Answer:

$\frac{1}{14}$

Explanation:

Step1: Find common multiples

Find multiples of 6 and 4 between 1 - 14. Multiples of 6: 6, 12. Multiples of 4: 4, 8, 12. Common multiple is 12.

Step2: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total outcomes = 14. Favorable outcome = 1. So probability = $\frac{1}{14}$.