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 4 and a multiple of 6?

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 4 and a multiple of 6?

Answer

Explanation:

Step1: List multiples of 4 and 6

Multiples of 4 from 1 - 12: 4, 8, 12. Multiples of 6 from 1 - 12: 6, 12.

Step2: Find common multiples

The common multiple of 4 and 6 in the range 1 - 12 is 12. So there is 1 number that is a multiple of both 4 and 6.

Step3: Calculate probability

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of outcomes is 12. Favorable outcomes is 1. So $P = \frac{1}{12}$.

Answer:

$\frac{1}{12}$