In: Statistics and Probability
The number 73 is written as a sum of three natural numbers
73=a+b+c
(the triple (a,b,c) is ordered; e.g., the decompositions
73=19+20+34 and 73=20+34+19 are different.
Also, assume that all the decompositions have equal
probability.)
Given that there exists a triangle with sides a, b, and c, what is
the probability that this triangle is isosceles?