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 3 or a multiple of 2?

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 3 or a multiple of 2?

Answer

Explanation:

Step1: List multiples of 3 and 2

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

Step2: Find unique numbers

The set of numbers that are either a multiple of 3 or 2 is {2, 3, 4, 6, 8, 9}, which has 6 elements.

Step3: Calculate probability

The total number of possible outcomes is 9. Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{6}{9}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$