(Solved): 10 cards, numbered 1 through 10 , are placed in a hat. Two cards are selected at random, with repla ...

10 cards, numbered 1 through 10 , are placed in a hat. Two cards are selected at random, with replacement. Assume \( X= \) the sum of the numbers on the two chosen cards What are the possible values of \( X \) ? \[ \begin{array}{l} 1,2,3,4,5,6,7,8,9,10,12,14,15,16,17,18,19,20 \\ 1,2,3,4,5,6,7,8,9,10 \\ 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \\ 2,3,4,5,6,7,8,9,10 \end{array} \]