Problem 6. Petya missed the football match "Dynamo"-"Shinnik" and, coming to school in the morning, heard his friends discussing the game results. Petya's neighbor at school, Vasya, refused to name the score of the match but agreed to honestly answer any two questions Petya might have about the game, with answers being only "yes" or "no." Upon hearing this, three of Petya's friends honestly told him the following.

Roma: "If I tell you the total number of goals scored in the match, you will definitely be able to find out the score from Vasya."

Oleg: "Actually, even if the losing team had scored one more goal, the information about the total number of goals scored in the match would have been enough to definitely find out the score from Vasya."

Seryozha: "The forward of 'Shinnik' made the most beautiful assist of the season." Can Petya now definitely find out the score from Vasya by asking just one question?
Answer: Yes.

Solution. From the words of Roman and Oleg, it follows that the total number of goals in the match does not exceed two, and that one of the teams won. The score options are: $0: 1, 1: 0, 0: 2$ and $2: 0$. From Seryozha's words, it is now clear that "Shinnik" won, as the losing team did not score a single goal. To restore the score, it is now sufficient to ask Vasya one question. The question could be, for example, this: "Was more than one goal scored in the match?"