254

Answers

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2

Another colored balls puzzle (part II)

4

Blue and red balls puzzle

1

Non-Constant-Sum Blotto Game for Only 2 Players and 2 Battlefields

16

Show that this ratio of factorials is always an integer

4

Modern Mathematical Achievements Accessible to Undergraduates

1

Probability that one RV will exceed many others

16

Why is it hard to prove that the Euler Mascheroni constant is irrational?

3

Transition time in finite voter model

2

Filling a bin with one type of element when uniformly selecting from a set of two (with bias)

1

Optimizing a stochastic “flip and prune” procedure for selecting a subset of coins

6

L-systems and Sierpinski Triangle

22

What is the effect of adding 1/2 to a continued fraction? (2)

6

Nim game for odd number of stones

4

Chains or Antichains slowly increasing

0

Minimum conditional expectation of complement of event given conditional expectation of event?

1

smallest number of comparisons needed

2

the symmetric group $S_{2^{r−1}}$

2

How dense is the set of asymmetric graphs?

15

Can every $\mathbb{Z}^2$ disk be pinball-reached?

4

An example of a beautiful proof that would be accessible at the high school level?

0

On Variance Break detection

1

The maximum in the Poisson problem on the cube with constant source

1

Simulating random sequential adsorption in reverse

2

Most harmful heuristic?

1

$\sum _{k=0}^{\infty } \frac{1}{(k+m) k!} \equiv 1$ for $m=2$

6

Can you prove that Average(f(x)) is not equal to f(average(x)) for non-linear f in more than one variable

1

Random Sequential Adsorption of Discs on a Plane - What is the best known lowerbound for the number of circles (of some radius $r$) guaranteed to fit on $[0, 1]^2$?

7

The average number of people that can sit on a bench of a given length.

14

An unfair game involving an odd number of pieces of chocolate

1

Memory of Uniformly Random Dyck Paths