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
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: The unshaded portion consists of 3 and 4. Landing on an unshaded portion and landing on 2 cannot happen simultaneously since 2 is in the shaded portion. So this is mutually - exclusive.
- Option 2: The shaded portion consists of 1 and 2. Landing on a shaded portion and landing on 3 cannot happen at the same time as 3 is in the unshaded portion. So this is mutually - exclusive.
- Option 3: The shaded portion has 1 and 2. Landing on a shaded portion and landing on an even number can happen when the result is 2. So this is not mutually - exclusive.
- Option 4: The unshaded portion has 3 and 4. Landing on an unshaded portion and landing on a number greater than 3 can happen when the result is 4. So this is not mutually - exclusive.
- Option 5: Landing on a shaded portion and landing on an unshaded portion cannot occur simultaneously as a section of the spinner cannot be both shaded and unshaded at the same time. So this is 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