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?
Can you tell me the probability of rolling two fair dice and getting a sum of 4 if one die shows a 3?
Sure! Let me calculate that for you. 
The only possible ways to get a sum of 4 with one die showing 3 are 3+1 and 1+3. There are a total of 11 possible outcomes for rolls with one die showing a 3: (1,3), (2,3), (4,3), (5,3), (6,3), (3,1), (3,2), (3,4), (3,5), (3,6). Out of these 11 outcomes, only 2 outcomes result in a sum of 4. So the probability of rolling a sum of 4 with one die showing a 3 is 2/11.