There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 3?
To find the probability of spinning a multiple of 4 or a multiple of 3, we need to first find the total number of favorable outcomes.
Multiples of 4: 4, 8, 12
Multiples of 3: 3, 6, 9, 12
There is one outcome, which is 12, that is a multiple of both 4 and 3. So, we need to make sure we do not count it twice.
Therefore, there are 6 favorable outcomes.
The total number of possible outcomes is 12 (numbers 1 through 12 on the spinner).
So, the probability of spinning a multiple of 4 or a multiple of 3 is:
6 favorable outcomes / 12 total outcomes = 1/2 = 0.5
Therefore, the probability is 0.5 or 50%.