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  2. Ages of Three Children puzzle - Wikipedia

    en.wikipedia.org/wiki/Ages_of_Three_Children_puzzle

    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 ...

  3. Goldbach's conjecture - Wikipedia

    en.wikipedia.org/wiki/Goldbach's_conjecture

    The Pillai sequence tracks the numbers requiring the largest number of primes in their greedy representations. [30] Similar problems to Goldbach's conjecture exist in which primes are replaced by other particular sets of numbers, such as the squares: It was proven by Lagrange that every positive integer is the sum of four squares.

  4. 100 prisoners problem - Wikipedia

    en.wikipedia.org/wiki/100_prisoners_problem

    100 prisoners problem. Each prisoner has to find their own number in one of 100 drawers, but may open only 50 of the drawers. The 100 prisoners problem is a mathematical problem in probability theory and combinatorics. In this problem, 100 numbered prisoners must find their own numbers in one of 100 drawers in order to survive.

  5. Guess 2/3 of the average - Wikipedia

    en.wikipedia.org/wiki/Guess_2/3_of_the_average

    In game theory, " guess ⁠ 2 3 of the average " is a game that explores how a player’s strategic reasoning process takes into account the mental process of others in the game. [1] In this game, 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 ...

  6. Why is it a fire code violation to put a rollaway...

    www.tripadvisor.com/FAQ_Answers-g41232-d674256-t...

    There are several reasons for this law. Hotel rooms are inspected by the government and based on their size and layout are permitted to only have a certain number of beds, which hotels tend to put the max number allowed. Adding more beds in a room deemed too legally small is a hazard for multiple reasons: 1) In case of a fire these extra ...

  7. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    Monty Hall problem. In search of a new car, the player chooses a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let ...

  8. The Key to Success at Guess? - AOL

    www.aol.com/news/2013-03-28-the-key-to-success...

    Here's what's gone wrong, and what Guess? can do to turn it around. The problem of promotion Last quarter, gross margin dropped 2.5 percentage points to 40.8%. That helped pull operating margin ...

  9. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Genre. Mathematics, problem solving. Publication date. 1945. ISBN. 9780691164076. How to Solve It (1945) is a small volume by mathematician George Pólya, describing methods of problem solving. [1] This book has remained in print continually since 1945.

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