For example, you have to pick a donut from a box randomly that has the following six donuts:
glazed, plain, sprinkles, double chocolate, chocolate frosted, and jelly.
What is the complementary event of getting a plain donut?
Well, first of all, I forgot what a complementary event was. And would my answer be a fraction?
Anyone?...
The complementary event of getting a plain donut would be getting any donut that is not plain. This includes the following options: glazed, sprinkles, double chocolate, chocolate frosted, and jelly.
To find the complementary event, we need to first determine the total number of possible outcomes. In this case, we have six donuts to choose from. Therefore, the total number of possible outcomes is six.
Next, we need to determine the number of favorable outcomes, which are the outcomes that are not plain. Since there are five donuts that are not plain, the number of favorable outcomes is five.
Finally, we can calculate the probability of the complementary event by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of getting a donut that is not plain is 5/6 or approximately 0.8333.