there is a spinner with 12 equal areas, numbered 1 through 12. if the spinner is spun one time, what is the…

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 5 and a multiple of 2?

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 5 and a multiple of 2?

Answer

Explanation:

Step1: Find numbers that are multiples of 5 and 2

Multiples of 5 from 1 - 12 are 5, 10. Multiples of 2 from 1 - 12 are 2, 4, 6, 8, 10, 12. The numbers that are multiples of both 5 and 2 are the common - multiples, which is 10. So there is 1 number that is a multiple of 5 and 2.

Step2: Calculate the probability

The probability formula is $P(A)=\frac{n(A)}{n(S)}$, where $n(A)$ is the number of favorable outcomes and $n(S)$ is the total number of outcomes. Here, $n(S) = 12$ (since there are 12 equal - areas on the spinner) and $n(A)=1$. So $P=\frac{1}{12}$.

Answer:

$\frac{1}{12}$