# Questions tagged [recreational-mathematics]

Puzzles, curiosities, brain teasers and other mathematics done "just for fun".

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### Expected number of calls for a Bingo win

I have read a few similar questions (see this question and this one), but cannot figure out how to adapt the solutions to fit my question. Unfortunately, my understanding of math is extremely limited, ...
51 views

### Simplest Turing Machine for a particular binary string

At the Bank of England is a proposed £50 note. Alan Turing was born on the 23rd June 1912. 23061912 in decimal is 1010111111110010110011000. Starting from a blank tape, what is the simplest Turing ...
26 views

### What can be a function that take integers as input values,and give output as odd Numbers?

I want a function that can get input as integers and give result as odd numbers. for example if x=1,y=1 then (2,3) (3,5) (4,7) (5,9) (6,11) expressing y in terms of x.
57 views

### Is the coin fair

So, I told my friend a story ... Probability professor assigned a homework to his students. The assignment was to record a 200 tosses of the fair coin. After the assignments were handed, the ...
69 views

### Minimize sum of guesses to win lottery

Ten boxes are given with $a_1,a_2,a_3,a_4,a_5 ......a_{10}$ number of balls in them respectively .These boxes are randomly ordered but $a_1,a_2 .....a_{10}$ is told.We can arbitrary select a box and ...
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### Tough problems that, upon solving, made you realize how jubilating and pleasurable mathematics can be? [on hold]

For me, an example would be this pretty well known question: Simplify the following: (x-a)(x-b)(x-c)...(x-z) If you haven't seen this question, I highly encourage you to struggle with it by ...
### An idealized $\infty$-body problem: is an infinite and regular configuration of massive objects stable?
Suppose I have an infinite amount of massive point shaped objects, and I arrange the objects by putting one object on each point of $\mathbb{Z}^2$ within $\mathbb{R}^2$. By symmetry, the gravity ...