Answer:
"landing on a shaded portion and landing on a 3"
"landing on an unshaded portion and landing on a number less than 2 "
Explanation:
Mutually exclusive means the events will have no intersection.
Let's look at your first choice:
"landing on a shaded portion and landing on an even number"
Landing on a shaded portion would be 1 or 4.
Landing on an even number would be 2 or 4.
There is an intersection (they contain a common element), the 4.
These events are not mutually exclusive.
Let's look at your second choice:
"landing on a shaded portion and landing on a number greater than 3"
Landing on a shaded portion would be 1 or 4.
Landing on a number greater than 3 would be just 4.
There is an intersection; they both contain 4.
These events are not mutually exclusive.
Let's look at your third choice:
"landing on a shaded portion and landing on a 3"
Landing on a shaded portion would be 1 or 4.
Landing on 3 would just be 3.
There is no common elements in the lists listed. These events have no intersection.
These events are mutually exclusive.
Let's look at your fourth choice:
"landing on an unshaded portion and landing on an odd number"
Landing on a unshaded portion would be 2 or 3.
Landing on an odd number would be 1 or 3.
There is an intersection; they both have 3 in common.
These events are not mutually exclusive.
Let's look at your fifth choice:
"landing on an unshaded portion and landing on a number less than 2 "
Landing on an unshaded portion would 2 or 3.
Landing on a number less than 2 would be 1.
There is no intersection.
These events are mutually exclusive.