Determine whether events A and B are mutually exclusive.

Jayden has a math class on Tuesdays at 2:00; B: Jayden has an English class on Tuesdays at 2:00.

Mutually exclusive, since a person may only be in one place at one time, the two Jayden 's in the two events must be different people.

A sample of 20 cars is selected from the inventory of a dealership. A: At least 3 of the cars in the sample are red; B: Fewer than 2 of the cars in the sample are red.

Mutually exclusive. Because at least 3 (3, 4, 5, ...) and fewer than 2 (0 or 1), cannot contain common elements

A red die and a blue die are rolled. A: The red die comes up 1; B: The total is 9

Mutually exclusive. Because if the red die is a 1, then the sum cannot be 9. If the sum is 9, then the blue die would have to be 8, and the maximum it maybe is 6

Sophie is a member of the debate team; B: Sophie is the president of the theater club.

Not mutually exclusive, because Sophie belongs to both events A and B

A sample of 75 books is selected from a library. A: At least 10 of the authors are female; B: At least 10 of the books are fiction.

Not mutually exclusive. In the book written by female they may also contain fiction.

A red die and a blue die are rolled. A: The red die comes up 2; B: The blue die comes up 3.

Not mutually exclusive. Since events A and B may occur together, (red, blue) = (2, 3)