Question

Think about a six-sided die with each number, 1 through 6, appearing once on each die. Which of the following events is mutually exclusive?

Rolling a 3 or a number greater than 1.

Rolling a 4 or rolling an odd number.

Rolling a 6 or rolling a multiple of 2.

Rolling a 5 or rolling a prime number.

Answer 1

Answer: Rolling a 4 or rolling an odd number are examples of mutually exclusive events.

Mutually exclusive events are events that cannot happen at the same time. You cannot roll one die and get both a 4 and an odd number. They are completely different.

However, in choice 1, you can roll a 3 and a number greater than 1. If you rolled the number 3 itself, it is both a 3 and greater than 1.