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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)...

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?

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