Question

consider a single spin on the spinner shown below. which events are mutually exclusive? check all that apply. landing on an unshaded portion and landing on 2 landing on a shaded portion and landing on 3 landing on a shaded portion and landing on an even number landing on an unshaded portion and landing on a number greater than 3 landing on a shaded portion and landing on an unshaded portion

Explanation:

Step1: Recall definition of mutually - exclusive

Two events are mutually exclusive if they cannot occur at the same time.

Step2: Analyze "landing on an unshaded portion and landing on 2"

2 is in a shaded portion, so these two events cannot happen simultaneously.

Step3: Analyze "landing on a shaded portion and landing on 3"

3 is in an unshaded portion, so these two events cannot occur together.

Step4: Analyze "landing on a shaded portion and landing on an even number"

2 is both shaded and even, so they are not mutually exclusive.

Step5: Analyze "landing on an unshaded portion and landing on a number greater than 3"

4 is unshaded and greater than 3, so they are not mutually exclusive.

Step6: Analyze "landing on a shaded portion and landing on an unshaded portion"

A spinner cannot land on a shaded and unshaded portion at the same time.

Answer:

landing on an unshaded portion and landing on 2, landing on a shaded portion and landing on 3, landing on a shaded portion and landing on an unshaded portion