There is a spinner with 8 equal areas, numbered 1 through 8. 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 1

To find the probability of getting a multiple of 2 or a multiple of 3, we first need to calculate the total number of favorable outcomes.

The multiples of 2 in the range 1-8 are 2, 4, 6, and 8.
The multiples of 3 in the range 1-8 are 3 and 6.

However, we notice that the number 6 is counted twice since it is both a multiple of 2 and 3. Therefore, we need to subtract one 6 from the total, leaving us with 5 favorable outcomes.

The total number of possible outcomes is 8.

So, the probability of the result being a multiple of 2 or a multiple of 3 is:

5 (favorable outcomes) / 8 (total possible outcomes) = 5/8

Therefore, the probability of getting a multiple of 2 or a multiple of 3 when spinning the spinner one time is 5/8.