** Mathematics** is the study of

In search of a new car, the player picks door 1. The game host then opens door 3 to reveal a goat and offers to let the player pick door 2 instead of door 1. Image credit: Cepheus |

The ** Monty Hall problem** is a puzzle involving

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

The problem is also called the **Monty Hall paradox**; it is a

Here a ** truncated icosahedron** (left) is compared to the classic

- ...that the six
permutations of thevector (1,2,3) form aregular hexagon in3d space , the 24 permutations of (1,2,3,4) form atruncated octahedron infour dimensions , and both are examples of?permutohedra - ...that some functions can be written as an
infinite sum oftrigonometric polynomials and that this sum is called theFourier series of that function? - ...that the
identity elements forarithmetic operations make use of the only twowhole numbers that are neithercomposites norprime numbers ,0 and1 ? - ...that as of April 2010 only 35 even numbers have been found that are not the sum of two primes which are each in a
ref - ...the
Piphilology record (memorizing digits ofPi ) is 70000 as of Mar 2015? - ...with a
Perrin number denoted P(i), i=1,2,3..., when i is prime then P(i) is composite, being divisible by i?

The ** Mathematics WikiProject** is the center for mathematics-related editing on Wikipedia. Join the discussion on the project's

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