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 3 and a multiple of 5?
same as the one I did below, don't you look at replies ???
To find the probability that the result is a multiple of 3 and a multiple of 5, we need to determine the number of favorable outcomes and the total number of possible outcomes.
First, let's identify the multiples of 3 and 5 within the range of numbers provided (1 through 15). The multiples of 3 are 3, 6, 9, 12, and 15, while the multiples of 5 are 5 and 10.
To find the numbers that are multiples of both 3 and 5, we need to find their common multiples. In this case, the only number that satisfies this condition is 15.
So, there is only one favorable outcome, which is spinning the number 15.
Next, we determine the total number of possible outcomes, which is the number of equally likely outcomes. In this case, there are 15 areas on the spinner, so there are 15 possible outcomes.
To calculate the probability, we divide the number of favorable outcomes (1) by the total number of possible outcomes (15):
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 1 / 15
= 1/15
Therefore, the probability that the result is a multiple of 3 and a multiple of 5 when the spinner is spun one time is 1/15.