The conversation between human and AI assistant.
Given two fair dice, what is the probability that the sum of their numbers is 4 if exactly one die shows a 3?
What is the probability of rolling a sum of 4 with two dice without any constraints?
In rolling two dice, there are 36 possible outcomes. Out of those 36, there are three ways to get a sum of 4: (1,3), (2,2), and (3,1). So the probability of rolling a sum of 4 with two dice is 3/36, which can be simplified to 1/12.