Day 2: The Three Wise Men
Marcella didn't sleep. Something was stirring in the house, which suddenly felt so alien after the news about her brother's presumed death. When their mother was alive, everything was different. Her mother enjoyed telling stories about her famous grandparents: caravan driver Mark Atilius and Egyptian priestess Nefertari, who met on their way to the Egyptian pyramids, where they looked for a cure for a deadly disease that was about to pull the whole world into darkness. They lived interesting lives, traveled together, and solved puzzles, before settling down and becoming famous healers. She smiled when she remembered how she played "Mark's journey to Egypt" with his brother. They built Egyptian pyramids using pillows. Her brother always chose Mark's role and made his sister portray the mummy in bandages, attacking him from a dark corner, or Mark's friend Lucius, or the old witch.
Her father didn't approve of those games, but it was her mother's wealth that brought prosperity to the family, so he didn't argue. Everything changed after her mother's death. Her father married again really quickly; then her brother left to serve their father's old commander, while she remained completely alone.
Father? Her father didn't care much about letting her do whatever she wanted. That was until recently. Her visit to the marketplace with her stepmother yesterday worried her. Her rather greedy stepmother bought her different fabrics and even added a few pearl clasps, similar to those she wore herself.
Additionally, her father's commander, who had brought the news about her brother's disappearance, still stayed in the house. Her father was usually very cautious about her, but he regularly left them alone in a room. Marcella had to listen to stories about "past glorious battles that no young man could even get close to today" and try to keep her eyes open. That was extremely boring.
She remembered a funny situation she saw on her way to the marketplace.
Three old men argued about who was the wisest among them and asked an architect, who had traveled to the lands of Codex Victoria, to resolve their argument. The architect didn't think for long. He looked in his bag and then showed them five hats: three black and two white. He then ordered them to close their eyes, quickly put three black hats on their heads, and hid the two white ones. None of the men could see what color hat was on their own head, but they could see the hats of the other two. Without helping each other, he told them to figure out which hat color they had on their head. They were thinking the whole time while Marcella's stepmother chose the fabrics. Finally, one man jumped in excitement and said he knew the answer!
Marcella smiled and wondered whether she would have solved it as fast if she had been one of the three. It was a brilliant task and only a very smart person could invent it.
Give the reasoning for how one of the men could figure out that all three were wearing black hats.
Important hint is that you need to look on the situation from the perspective of all 3 men separately and ask yourself - why it took all 3 of them so long to guess the colour of their hat?
There are only 5 hats (⚪ ⚪ ⚫ ⚫ ⚫), so the men had to choose out of 3 possible combinations:
1) ⚪ ⚪ ⚫
2) ⚪ ⚫ ⚫
3) ⚫ ⚫ ⚫
If you see ⚪ ⚪, then you will know immediately that you wear ⚫. Solution found!
If you see ⚪ ⚫, then in theory, you can wear either ⚪ or ⚫, but...
Now your turn!
State your nickname and server played in this thread with your answer to the riddle. All post are disabled.