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 3 and a multiple of 4?

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 3 and a multiple of 4?

Answer

Explanation:

Step1: List multiples of 3 and 4

Multiples of 3 from 1 - 12: 3, 6, 9, 12. Multiples of 4 from 1 - 12: 4, 8, 12.

Step2: Find common multiples

The common multiple of 3 and 4 from 1 - 12 is 12. So there is 1 number that is a multiple of both 3 and 4.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of outcomes is 12 (since there are 12 equal - areas on the spinner). Favorable outcomes is 1. So $P=\frac{1}{12}$.

Answer:

$\frac{1}{12}$