Comme un jeu

A coach selects two players at random from a group of four players, labeled A, B, C, and D, without replacement (once a player is chosen, they are not available for the next selection). The table below shows all possible outcomes for selecting Player 1 and Player 2, where an "X" indicates an impossible outcome due to the same player being selected twice.

$\begin{aligned} Player 2 \\ Player 1 \end{aligned}$	$A$	$B$	$C$	$D$
$A$	X	$A B$	$A C$	$A D$
$B$	$B A$	X	$B C$	$B D$
$C$	$C A$	$C B$	X	$C D$
$D$	$D A$	$D B$	$D C$	X

Calculate the probability that player C is selected as either Player 1 or Player 2, simplifying the fraction.

P ("selecting player C") =