Final answer:
To find the probability of spinning a multiple of 3 or a multiple of 4 on the spinner, we determine the favorable outcomes (multiples of 3 or 4) and divide by the total number of possible outcomes. The probability is 8/15 or approximately 0.533 (rounded to three decimal places).
Step-by-step explanation:
To find the probability that the result of spinning the spinner is a multiple of 3 or a multiple of 4, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
The multiples of 3 from 1 to 15 are: 3, 6, 9, 12, and 15. The multiples of 4 from 1 to 15 are: 4, 8, and 12.
There are 8 favorable outcomes. The total number of possible outcomes is 15. Therefore, the probability is 8/15 or approximately 0.533 (rounded to three decimal places).