Answer: The probability of an event happening is the number of successful outcomes (also known as favorable outcomes) divided by the total number of possible outcomes.
In this case, the spinner has 16 equal regions numbered from 1 to 16, so the total number of possible outcomes is 16.
The spinner will stop on an even number or a multiple of 3 when it stops on one of these numbers: {2, 4, 6, 8, 10, 12, 14, 16, 3, 9, 15}. So the number of successful outcomes is 11.
Therefore, the probability that the spinner will stop on an even number or a multiple of 3 is:
11 / 16
This can be simplified to 11/16, which is equivalent to 0.6875 as a decimal. Rounded to four decimal places, it is 0.6875.
Alternatively, you could divide the 11 favorable outcomes by the 16 possible outcomes and also multiply by 100 to convert it to percentage point probability.
Explanation: