A Suit of Standard Playing Cards Has Thirteen Cards

Essay

A suit of standard playing cards has thirteen cards. Suppose the suit of hearts is thoroughlyshuffled and that you have the opportunity to play the following game:
You win $10 if youchoose the ten or queen of hearts, you lose $5 if you choose the jack or king of hearts, youwin $2 if you choose the five or seven of hearts, and you lose $10 if you choose the ace ofhearts. With any other outcome you will win or lose nothing. Complete the table thatshows the probability distribution. Would it be sensible to play this game?
$$\begin{array} { | l | l | } \hline \text { Winnings } & \text { Probability } \\ \hline + \$ 10 & \\ \hline - \$ 5 & \\ \hline + \$ 2 & \\ \hline - \$ 10 & \\ \hline 0 & \\ \hline \end{array}$$