there is a spinner with 13 equal areas, numbered 1 through 13. if the spinner is spun one time, what is the…

there is a spinner with 13 equal areas, numbered 1 through 13. if the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 3?

there is a spinner with 13 equal areas, numbered 1 through 13. if the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 3?

Answer

Answer:

$\frac{6}{13}$

Explanation:

Step1: List multiples of 4 and 3

Multiples of 4 from 1 - 13: 4, 8, 12. Multiples of 3 from 1 - 13: 3, 6, 9, 12.

Step2: Find unique numbers

The set of numbers that are multiples of 4 or 3 is {3, 4, 6, 8, 9, 12}, with 6 elements.

Step3: Calculate probability

The total number of outcomes is 13. Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{6}{13}$.