there is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the…

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?

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?

Answer

Explanation:

Step1: Find numbers that are multiples of 3 and 5

The multiples of 3 from 1 - 15 are 3, 6, 9, 12, 15. The multiples of 5 from 1 - 15 are 5, 10, 15. The numbers that are multiples of both 3 and 5 are the common - multiples. The common multiple of 3 and 5 in the range 1 - 15 is 15. So there is 1 number that is a multiple of 3 and 5.

Step2: Calculate the probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. The total number of outcomes when spinning the spinner is 15 (since there are 15 equal - areas numbered 1 through 15). The number of favorable outcomes (a number that is a multiple of 3 and 5) is 1. So $P=\frac{1}{15}$.

Answer:

$\frac{1}{15}$