0
votes
1answer
42 views

Probability distribution of the third side in triangle

Given the two distributions of two sides of a triangle (for example, Uniform and Rayleigh) and the distribution of an angle between them (Uniform[0,Pi]), find the length of the third side. What i ...
3
votes
2answers
409 views

how many rectangles in this shape

I've learned in my high school the solution to such riddle: How many rectangles are there in this shape: the solution is through combinations: in this shape is a $5\times 6$ grid so the number of ...
0
votes
1answer
2k views

probability of three random points inside a circle forming a right angle triangle

three points are randomly chosen on a circle. what the probability that 1.triangle formed is right angled triangle. 2.triangle formed is acute angled triangle. 3.triangle formed is obtuse angled ...
18
votes
4answers
1k views

probablity of random pick up three points inside a regular triangle which form a triangle and contain the center

what is the probablity of random pick up three points inside a regular triangle which form a triangle and contain the center of the regualr triangle the three points are randomly picked within the ...