Fifteen football players of a club-team are given \( 15 \) T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least \( 3 \) players pick the correct T-shirt is:
\( \dfrac{2}{15} \)
\( \dfrac{5}{24} \)
\( \dfrac{5}{36} \)
\( \dfrac{1}{6} \)