consider a single spin on the spinner shown below. which events are mutually exclusive? check all that…

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

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

Answer

Explanation:

Step1: Recall mutual - exclusive definition

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

Step2: Analyze each option

  • For "landing on an unshaded portion and landing on 2": Portion 2 is shaded, so these are mutually exclusive.
  • For "landing on a shaded portion and landing on 3": Portion 3 is unshaded, so these are mutually exclusive.
  • For "landing on a shaded portion and landing on an even number": Portion 2 is shaded and even, so these are not mutually exclusive.
  • For "landing on an unshaded portion and landing on a number greater than 3": Portion 4 is unshaded and greater than 3, so these are not mutually exclusive.
  • For "landing on a shaded portion and landing on an unshaded portion": A region cannot be both shaded and unshaded simultaneously, so these are mutually exclusive.

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