consider a single spin of the spinner. which events are mutually exclusive? select two options. landing on a…

consider a single spin of the spinner. which events are mutually exclusive? select two options. landing on a shaded portion and landing on an even number landing on a shaded portion and landing on a number greater than 3 landing on a shaded portion and landing on a 3 landing on an unshaded portion and landing on an odd number landing on an unshaded portion and landing on a number less than 2

consider a single spin of the spinner. which events are mutually exclusive? select two options. landing on a shaded portion and landing on an even number landing on a shaded portion and landing on a number greater than 3 landing on a shaded portion and landing on a 3 landing on an unshaded portion and landing on an odd number landing on an unshaded portion and landing on a number less than 2

Answer

Explanation:

Step1: Recall mutual - exclusive definition

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

Step2: Analyze each option

  • Option 1: Landing on a shaded portion and landing on an even number. Shaded regions have 1 and 4, 4 is even. So they are not mutually exclusive.
  • Option 2: Landing on a shaded portion and landing on a number greater than 3. Shaded regions have 1 and 4, 4 is greater than 3. So they are not mutually exclusive.
  • Option 3: Landing on a shaded portion and landing on a 3. Shaded regions are 1 and 4, not 3. So they are mutually exclusive.
  • Option 4: Landing on an unshaded portion and landing on an odd number. Unshaded regions are 2 and 3, 3 is odd. So they are not mutually exclusive.
  • Option 5: Landing on an unshaded portion and landing on an odd number less than 2. Unshaded regions are 2 and 3, odd number less than 2 is 1 (not in un - shaded). So they are mutually exclusive.

Answer:

landing on a shaded portion and landing on a 3, landing on an unshaded portion and landing on an odd number less than 2