Probability

Step 1: Understanding the problem.
We are asked to find the probability that the sum of the numbers rolled on three fair dice is 5.
Step 2: Total possible outcomes.
Each die has 6 faces, so the total number of possible outcomes when three dice are thrown is .
Step 3: Finding favorable outcomes.
To get a sum of 5, the following combinations of dice rolls are possible: (1, 1, 3), (1, 2, 2), (2, 1, 2), (3, 1, 1). There are 6 different combinations that add up to 5.
Step 4: Probability calculation.
The probability is the number of favorable outcomes divided by the total number of outcomes: Step 5: Conclusion.
The correct answer is (A) 1/36, which is the probability that the sum of the dice is 5.