Two people play the following game: there are $40$ cards numbered from $1$ to $10$ with $4$ different suits. At the beginning, they are given $20$ cards each. 

Each turn, one player can either place a card on the table or remove cards from the table whose sum is $15$. 

At the end of the game:
- One player has a $5$ and a $3$ in their hand.
- On the table, there's a $9$.
- The other player has one card in their hand.

What is the value of this card?

Let's think step by step and output the final answer within \boxed{}.
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