All Questions
Tagged with hat-guessing probability
8
questions
9
votes
1
answer
193
views
Black-hat/white-hat logicians with a bell and a meal
At the 2020 yearly black- and white- hatted logician gathering, the following fun activity is organized.
$N$ logicians will sit around a table, each wearing a black or a white hat the color of which ...
- 30.8k
7
votes
3
answers
536
views
Guessing game with infinity coin flips
Evan and Ollie are going to play a game as a team. The two friends placed in separate rooms, and then a coin is flipped infinitely many times*. Evan is told the results of the even numbered flips, ...
- 32.5k
12
votes
3
answers
2k
views
A hat puzzle involving wizards
Two wizards, Alice and Bob, each have two hats on their heads. Each hat is independently black or white with probability one-half. When the game starts each wizard will see the hats on the other ...
- 7,845
7
votes
3
answers
1k
views
Surviving Captain Nefarious
Captain Nefarious has captured you and two of your friends, Alice and Bob. Being a villain, he has a natural desire to monologue, so he sits you down (guarded, of course by his Largely Incompetent ...
- 26.4k
15
votes
3
answers
1k
views
100 Dwarves vs. the Evil Elf
The following is an extension of 100 Dwarves and a tiny room. The text of this puzzles spoils that one in a minor way, so go read that excellent puzzle first!
An evil elf puts $100$ dwarves in a ...
- 9,564
15
votes
3
answers
1k
views
Hat Guessing Game in Vegas
A team of 10 people are going to play a cooperative game. While their eyes are closed, a pit boss will place either a red or green hat on each of their heads, chosen by fair coin flip. They then all ...
- 32.5k
19
votes
6
answers
3k
views
Cooperative guessing game: no incorrect guesses
There are 15 players who will play a cooperative game. They begin by closing their eyes. A referee will place either a black hat or a white hat (chosen by fair coin flip) on each player's head. The ...
- 14.3k
8
votes
8
answers
677
views
Five Haberdashers
This is yet another hat puzzle, but not one of the usual ones! Key differences/commonalities between other hat puzzles are emphasized.
Five friends are going to go on a game show. When the game ...
- 32.5k