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A Suit of Standard Playing Cards Has Thirteen Cards

Question 59

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?
 Winnings  Probability +$10$5+$2$100\begin{array} { | l | l | } \hline \text { Winnings } & \text { Probability } \\ \hline + \$ 10 & \\ \hline - \$ 5 & \\ \hline + \$ 2 & \\ \hline - \$ 10 & \\ \hline 0 & \\ \hline \end{array}

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The probability column should ...

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