1. **State the problem:** We roll a 6-sided die and want to find the probability of the event "5 or greater than 3". 2. **Define the events:** Let A = rolling a 5, and B = rolling a number greater than 3. 3. **List outcomes:** - A = {5} - B = {4, 5, 6} 4. **Find the union:** The event "5 or greater than 3" means $A \cup B = \{4, 5, 6\}$. 5. **Calculate probabilities:** - Total outcomes = 6 - Favorable outcomes for $A \cup B$ = 3 6. **Use the formula for probability:** $$P(A \cup B) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{3}{6} = \frac{1}{2} = 0.5$$ 7. **Answer:** The probability is 0.5 or 50%.