There is a spinner with 11 equal areas, numbered 1 through 11. If the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?
Listing the multiples of 2 and 5 from 1 to 11, we have:
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 5: 5, 10
Notice that the number 10 appears in both lists. When counting the total number of possible outcomes, we only want to count 10 once. So the total number of possible outcomes is 11 - 1 (since we don't want to count 10 twice) = 10.
There are 6 outcomes that are multiples of 2 or 5: 2, 4, 5, 6, 8, 10.
Therefore, the probability of spinning a multiple of 2 or a multiple of 5 is 6/10 or 3/5.