1. **State the problem:** We have a spinner with 4 equal sections labeled 1, 2, 4, and 3. Sections 1 and 4 are shaded. We need to find which pairs of events are mutually exclusive. 2. **Define mutually exclusive events:** Two events are mutually exclusive if they cannot happen at the same time. 3. **Analyze each pair:** - Landing on a shaded portion and landing on an even number: - Shaded portions: 1, 4 - Even numbers: 2, 4 - Common outcome: 4 (shaded and even) - Not mutually exclusive. - Landing on a shaded portion and landing on a number greater than 3: - Shaded portions: 1, 4 - Numbers greater than 3: 4 - Common outcome: 4 - Not mutually exclusive. - Landing on a shaded portion and landing on a 3: - Shaded portions: 1, 4 - Number 3 - No common outcome - Mutually exclusive. - Landing on an unshaded portion and landing on an odd number: - Unshaded portions: 2, 3 - Odd numbers: 1, 3 - Common outcome: 3 - Not mutually exclusive. - Landing on an unshaded portion and landing on a number less than 2: - Unshaded portions: 2, 3 - Numbers less than 2: 1 - No common outcome - Mutually exclusive. 4. **Final answer:** The two mutually exclusive pairs are: - Landing on a shaded portion and landing on a 3 - Landing on an unshaded portion and landing on a number less than 2