There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
To calculate the probability, we first need to determine the total number of favorable outcomes and the total number of possible outcomes.
The numbers that are multiples of 5 are 5 and 10.
The numbers that are multiples of 2 are 2, 4, 6, 8, and 10.
There is one number (10) that is a multiple of both 5 and 2, so we need to be careful not to count it twice.
Therefore, the favorable outcomes are 5 numbers (2, 4, 5, 6, 8) and the total number of possible outcomes is 10 (numbers 1 through 10).
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 5 / 10
Probability = 1/2
Probability = 0.5
Therefore, the probability that the result of spinning the spinner one time is a multiple of 5 or a multiple of 2 is 0.5 or 50%.