A certain box has \(10\) cards written integers from \(1\) to \(10\) inclusive and the numbers written are different.

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A certain box has \(10\) cards written integers from \(1\) to \(10\) inclusive and the numbers written are different. If \(2\) different cards are selected at random, what is the probability that the sum of numbers written on the \(2\) cards selected is less than the average (arithmetic mean) of total \(10\) numbers written on the \(10\) cards?

A. \(2/45\)
B. \(1/15\)
C. \(4/45\)
D. \(1/9\)
E. \(2/15\)

OA C