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 1

To find the probability of spinning a multiple of 2 or a multiple of 5, we first need to determine how many numbers are multiples of 2 and how many are multiples of 5 between 1 and 14.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14 (7 numbers)
Multiples of 5: 5, 10 (2 numbers)

There is one number, 10, that is a multiple of both 2 and 5, so we need to make sure not to double count it.

Adding the multiples of 2 and 5 together gives us 7 + 2 - 1 = 8 numbers that are multiples of 2 or 5.

There are a total of 14 possible outcomes, so the probability of spinning a multiple of 2 or 5 is 8/14, which simplifies to 4/7.

Therefore, the probability of spinning a multiple of 2 or 5 on the spinner is 4/7.