In a university games tournament, 64 students are about to participate in a chess knockout compet...
There are 64 teams who play in a single elimination tournament (hence 6 rounds), and you have to predict all the winners in all 63 games. Your score is then computed as follows: 32 points for correctly predicting the final winner, 16 points for each correct finalist, and so on, down to 1 point for every correctly predicted winner for the first round. (The maximum number of points you can get is thus 192.) Knowing nothing about any team, you...
A high-school teacher takes an afternoon to teach their class some basic ideas about probability. They do this by getting the students to toss coins (head or tails) and set up a tournament where the 32 students split into pairs and have a contest: the students in each pair toss a coin ten times and the winner is the student who tosses the most heads. Then the 16 students who were winners in the first round are again split into...
A high-school teacher takes an afternoon to teach their class some basic ideas about probability. They do this by getting the students to toss coins (head or tails) and set up a tournament where the 32 students split into pairs and have a contest: the students in each pair toss a coin ten times and the winner is the student who tosses the most heads. Then the 16 students who were winners in the first round are again split into...