The number 81 is written as a sum of three natural numbers 81 = a +...

The number 81 is written as a sum of three natural numbers 81 = a + b + c (the triple (a,b,c) is ordered; e.g., the decompositions 81 = 1 + 1 + 79 and 81 = 1 + 79 + 1 are different. Also, assume that all the decompositions have equal probability.) What is the probability that there exists a triangle with sides a, b, and c? (PLEASE EXPLAIN THE STEPS AND WHY YOU KNOW TO DO STEPS, THANKS)

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orchestra answered 2 years ago

The number 73 is written as a sum of three natural numbers 73=a+b+c (the triple (a,b,c)...

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