**Which pair of events are NOT overlapping when rolling a single six-sided die?**

A.)Getting a number greater than 2
Getting a number less than 5

B.)Getting an odd number
Getting a prime number

C.)Getting a number greater than 4
Getting a number less than 2

D.)Getting an even number Getting a prime number

To identify which pair of events **are NOT overlapping** when rolling a six-sided die, we need to check if the two events in each pair have any outcomes in common.

Let’s analyze each option:

### A) **Getting a number greater than 2** and **Getting a number less than 5**
- Getting a number greater than 2: \{3, 4, 5, 6\}
- Getting a number less than 5: \{1, 2, 3, 4\}
- Overlap: \{3, 4\}
  
These events **do overlap** because both 3 and 4 are in common.

### B) **Getting an odd number** and **Getting a prime number**
- Odd numbers: \{1, 3, 5\}
- Prime numbers (on a die): \{2, 3, 5\}
- Overlap: \{3, 5\}

These events **do overlap** because 3 and 5 are in common.

### C) **Getting a number greater than 4** and **Getting a number less than 2**
- Getting a number greater than 4: \{5, 6\}
- Getting a number less than 2: \{1\}
- Overlap: None
  
These events **do not overlap**, as there are no numbers common between \{5, 6\} and \{1\}.

### D) **Getting an even number** and **Getting a prime number**
- Even numbers: \{2, 4, 6\}
- Prime numbers: \{2, 3, 5\}
- Overlap: \{2\}

These events **do overlap** because the number 2 is in common.

---

### Conclusion:
The correct answer is:
**C) Getting a number greater than 4 and Getting a number less than 2**

These events do not overlap, as they have no numbers in common.

Would you like more details or have any other questions?

### 5 Related Questions:
1. What are mutually exclusive events in probability?
2. Can two events overlap if they are independent?
3. How do you calculate the probability of non-overlapping events?
4. What are examples of overlapping events in real-life scenarios?
5. How do you represent overlapping events using Venn diagrams?

### Tip:
Non-overlapping events, also called mutually exclusive events, have no common outcomes and their intersection is empty.

Which pair of events are NOT overlapping when rolling a single six-sided die? A.) Getting a number greater than 2, Getting a number less than 5 B.) Getting an odd number, Getting a prime number C.) Getting a number greater than 4, Getting a number less than 2 D.) Getting an even number, Getting a prime number

Learn how to identify non-overlapping events when rolling a six-sided die with detailed analysis of different event pairs. This problem covers core probability concepts such as mutually exclusive and overlapping events. Suitable for students in Grades 6-8.

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