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In game theory, "guess 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to 2 / 3 of the average of numbers chosen by all players. [1]
Prisoner 1 first opens drawer 1 and finds number 7. Then they open drawer 7 and find number 5. Then they open drawer 5, where they find their own number and are successful. Prisoner 2 opens drawers 2, 4, and 8 in this order. In the last drawer they find their own number, 2. Prisoner 3 opens drawers 3 and 6, where they find their own number.
The original version of 24 is played with an ordinary deck of playing cards with all the face cards removed. The aces are taken to have the value 1 and the basic game proceeds by having 4 cards dealt and the first player that can achieve the number 24 exactly using only allowed operations (addition, subtraction, multiplication, division, and parentheses) wins the hand.
The Ages of Three Children puzzle (sometimes referred to as the Census-Taker Problem [1]) is a logical puzzle in number theory which on first inspection seems to have insufficient information to solve. However, with closer examination and persistence by the solver, the question reveals its hidden mathematical clues, especially when the solver ...
Four fours is a mathematical puzzle, the goal of which is to find the simplest mathematical expression for every whole number from 0 to some maximum, using only common mathematical symbols and the digit four.
Fizz buzz is a group word game for children to teach them about division. [1] Players take turns to count incrementally, replacing any number divisible by three with the word "fizz", and any number divisible by five with the word "buzz", and any number divisible by both three and five with the word "fizzbuzz".
This week saw a brand new twist in the challenge. The Final 9 were divided into three trios to start. Whichever trio finished in last in the first part of the challenge automatically lost their ...
For example, if you had two types of coins valued at 6 cents and 14 cents, the GCD would equal 2, and there would be no way to combine any number of such coins to produce a sum which was an odd number; additionally, even numbers 2, 4, 8, 10, 16 and 22 (less than m=24) could not be formed, either.