there is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the…

there is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 6?

there is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 6?

Answer

Explanation:

Step1: Find multiples of 4 and 6

Multiples of 4 from 1 - 14: (4,8,12) (3 numbers). Multiples of 6 from 1 - 14: (6,12) (2 numbers). But 12 is common. So total unique numbers (=3 + 2-1=4).

Step2: Calculate probability

Probability (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). Total outcomes (n = 14), favorable outcomes (m = 4). So (P=\frac{4}{14}=\frac{2}{7}).

Answer:

(\frac{2}{7})