Question

Question 4 of 4Which of the following is an example of the complement rule being applied tomutually exclusive events?A. The probability of rolling a 2 or 3 on a die.B. The probability of not rolling a 2 or 3 on a die.C. The probability of drawing a heart or king from a deck of cards.D. The probability of not drawing a heart or king from a deck ofcards.

Answer 1

It's important to know that mutually exclusive events are complements of each other. Two mutually exclusive events are those that can't happen at the same time, for example, if you flip a coin, you can get tails or head, and if you get heads, you won't get tail, that's why they are mutually exclusive. Thus, these events are also complementary because if you get tails, the complement is tails.

Now, in this case, the mutually exclusive event is represented by a die because its outcomes can't happen at the same time, also, a complement of its outcomes would be NOT to roll a specific outcome.

Therefore, B represents a complement rule being applied to mutually exclusive events.