Tagged Questions
7
votes
2answers
197 views
Chances of avoiding the diagonal
A circle of radius 1 is randomly placed in a rectangle $ABCD$ so that the circle lies completely inside the rectangle. Length and breadth of rectangles are 36 and 15 respectively.
Let the ...
0
votes
1answer
55 views
How to find out the probability of ordered pairs of rational or irrational number $(a,b)$ such that $1<a<50, 1,<b<50$, and $\log_b a$ is rational.
How to find out the probability of ordered pairs of rational or irrational or transcendental number $(a,b)$
such that $1<a<50$, $1<b<50$, and $\log_b a$ is rational?
Uniformly ...
5
votes
1answer
135 views
Is this graph based on rationals familiar?
Has anyone come across a graph like this?
The black circles represent rationals in $(0,1)$ and their heights are roughly proportional to the reciprocal of the square of their lowest terms ...
