In Between

Level pending

Hayley has a deck of 104 cards, each numbered distinctly with an integer \(k\), where \(1 \leq k \leq 104\). Hayley randomly picks 2 cards, with the numbers \(k_1\) and \(k_2\) written on them, where \(k_2>k_1\). Without replacing the first 2 cards, she then randomly picks a third card with the number \(k_3\) written on it. What is the probability that \(k_1<k_3<k_2\)?

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