There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 4 and a multiple of 3?
To find the probability of the result being a multiple of 4 and a multiple of 3, we need to determine the number of favorable outcomes (outcomes that satisfy both conditions) and divide it by the total number of possible outcomes.
Multiples of 4 from 1 to 15 are 4, 8, 12, which are also multiples of 3. Therefore, there are 3 favorable outcomes.
The total number of possible outcomes is 15 since there are 15 equal areas on the spinner.
So, the probability is given by:
Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 3 / 15 Probability = 1 / 5 Probability = 0.2 or 20%
Therefore, the probability that the result is both a multiple of 4 and a multiple of 3 is 0.2 or 20%.