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### Problem Analysis:
A die is rolled twice, and we need to find the probability of either:
1. Rolling a 5, or 
2. Getting an even number.

A die has 6 faces, numbered 1 to 6. Therefore:
- The even numbers are 2, 4, and 6.
- We also want to roll a 5.

Let’s consider the possible outcomes for each roll and determine the total number of successful outcomes.

### Total Outcomes:
Since a die is rolled twice, the total number of outcomes is \( 6 \times 6 = 36 \).

### Favorable Outcomes:
We can break the favorable outcomes into two categories.

1. **Rolling a 5 on either die:**
   - For the first roll: (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
   - For the second roll: (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5)
   
   Notice that (5, 5) is repeated, so we must count it only once.
   - Number of favorable outcomes for rolling a 5 = 11

2. **Getting an even number:**
   - Even numbers are 2, 4, and 6.
   - We can have:
     - (2, _), (4, _), (6, _) for all values from 1 to 6.
     - (_, 2), (_, 4), (_, 6) for all values from 1 to 6.
   
   Since we are counting all outcomes that are even on either die, and since there may be overlapping outcomes, we need to count these combinations carefully to avoid double-counting.

### Overlapping Cases (Rolling a 5 and an even number):


A die is rolled twice. What is the probability of rolling a 5 or getting an even number?

Learn how to solve the probability of rolling a 5 or getting an even number when rolling a die twice. This problem involves key concepts in probability, such as the addition rule and independent events. Suitable for students in Grades 8-10.

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