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 2 or a multiple of 5?

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 2 or a multiple of 5?

Answer

Explanation:

Step1: Find multiples of 2

Multiples of 2 from 1 - 14 are 2, 4, 6, 8, 10, 12, 14. So there are 7.

Step2: Find multiples of 5

Multiples of 5 from 1 - 14 are 5, 10. So there are 2.

Step3: Find common multiples

The common multiple of 2 and 5 from 1 - 14 is 10 (counted only once).

Step4: Calculate total favorable outcomes

Total favorable outcomes = 7+2 - 1=8.

Step5: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{8}{14}=\frac{4}{7}$.

Answer:

$\frac{4}{7}$