## 68. The Fifth Round

This time, one of the brothers, coming out of the house, said:

- Tralala has a card of black suit in his pocket.

Who was it?

- Excellent! - he said, addressing Alice. You did a wonderful job with the task of the fifth round. But the final round of our game is even more difficult. Now I will go into the house, shuffle the entire deck, after which my brother and I will each choose one card of red or black suit and come out of the house together. Our cards may be of the same suit or different suits. Then each of us will make one statement, and you must determine from these two statements who is Tralala and who is Trulala.
- This task is more difficult! - said Alice.
- Twice as difficult, - confirmed Trulala.
68. The Fifth Round (Red and Black). Suppose the speaker has a red card. Then the statement made by him is true. This means that in front of Alice must be Trulala. Now suppose that the speaker has a black card. Then the statement made by him is false. This means that Trula has not a black card. At the same time, the one who came out of the house has a black card in his pocket. Therefore, he cannot be Trula and in this case, he is called Trulala.

Thus, in either case, Trulala came out of the house this time.