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The earliest of several probability puzzles related to the Monty Hall problem is Bertrand's box paradox, posed by Joseph Bertrand in 1889 in his Calcul des probabilités. [67] In this puzzle, there are three boxes: a box containing two gold coins, a box with two silver coins, and a box with one of each.
In the initial problem, the 100 prisoners are successful if the longest cycle of the permutation has a length of at most 50. Their survival probability is therefore equal to the probability that a random permutation of the numbers 1 to 100 contains no cycle of length greater than 50. This probability is determined in the following.
A collection of puzzles involving numbers, logic, and probability 1962 Nov: Some puzzles based on checkerboards: 1962 Dec: Some simple tricks and manipulations from the ancient lore of string play: 1963 Jan: The author pays his annual visit to Dr. Matrix, the numerologist: 1963 Feb: Curves of constant width, one of which makes it possible to ...
Who says math can't be fun?! These math puzzles with answers are a delightful challenge. The post 30 Math Puzzles (with Answers) to Test Your Smarts appeared first on Reader's Digest.
Each scenario has a 1 / 6 probability. The original three prisoners problem can be seen in this light: The warden in that problem still has these six cases, each with a 1 / 6 probability of occurring. However, the warden in the original case cannot reveal the fate of a pardoned prisoner.
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set ...
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