Question

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

Explanation:

Mutually exclusive events are events that cannot happen at the same time.

• For "landing on a shaded portion and landing on an even number": Portion 4 is shaded and 4 is even. So these are not mutually exclusive.
• For "landing on a shaded portion and landing on a number greater than 3": Portion 4 is shaded and 4>3. So these are not mutually exclusive.
• For "landing on a shaded portion and landing on a 3": Shaded portions are 1 and 4. 3 is un - shaded. So these are mutually exclusive.
• For "landing on an unshaded portion and landing on an odd number": Unshaded portions are 2 and 3. 3 is odd. So these are not mutually exclusive.
• For "landing on an unshaded portion and landing on a number less than 2": Unshaded portions are 2 and 3. Number less than 2 is 1 (shaded). So these are mutually exclusive.

Answer:

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