there is a spinner with 9 equal areas, numbered 1 through 9. if the spinner is spun one time, what is the…

there is a spinner with 9 equal areas, numbered 1 through 9. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 3?

there is a spinner with 9 equal areas, numbered 1 through 9. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 3?

Answer

Explanation:

Step1: List multiples of 2 and 3

Multiples of 2 from 1 - 9 are 2, 4, 6, 8. Multiples of 3 from 1 - 9 are 3, 6, 9.

Step2: Find unique elements

The set of numbers that are multiples of 2 or 3 is {2, 3, 4, 6, 8, 9}, so there are 6 unique elements.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. Total outcomes = 9. So $P=\frac{6}{9}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$