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 2 and a multiple of 5?

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 2 and a multiple of 5?

Answer

Explanation:

Step1: Find numbers that meet the criteria

Numbers from 1 - 12 that are multiples of 2 and 5 are multiples of their least - common multiple. The LCM of 2 and 5 is 10. In the range 1 - 12, the only number that is a multiple of 10 is 10. So there is 1 number that meets the criteria.

Step2: Calculate the probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. The total number of outcomes when spinning the spinner is 12 (since there are 12 equal areas numbered 1 - 12), and the number of favorable outcomes is 1. So $P = \frac{1}{12}$.

Answer:

$\frac{1}{12}$