Probability

Concept: When two fair dice are rolled, each die has possible outcomes. Therefore, the total number of possible outcomes is: Each outcome is equally likely.
Step 1: List all outcomes whose sum is .
The pairs of numbers whose sum equals are: Thus, the number of favorable outcomes is:
Step 2: Apply the probability formula.
The probability of an event is given by: Substituting the values:
Step 3: Simplify the fraction.

Step 4: Conclusion.
Therefore, the probability of obtaining a sum of when two fair dice are rolled is: