Suppose you roll a pair of dice.Let A be the event that you roll an even number.Let B be the event that you roll an odd number.Which of the following statements is true?
A)The events A and B are not mutually exclusive.
B)The intersection of A and B is the empty set ∅.
C)The events A and B are not collectively exhaustive.
D)The complement of event B is the set [1,3,5,7,9,11].

Question

Quizplus · Accepted Answer

The events A (rolling an even number) and B (rolling an odd number) are mutually exclusive because a roll cannot be both even and odd simultaneously, making their intersection an empty set.

Suppose You Roll a Pair of Dice