You Pick a Card from a Deck B) C) D)

question 100

Multiple Choice

You pick a card from a deck.If you get a club,you win $80.If not,you get to draw again (after replacing the first card) .If you get a club the second time,you win $30.Otherwise you win nothing. Create a probability model for the amount you win at this game.

• A) \[\begin{array} { l | r r r }
• \text { Amount won } & \$ 80 & \$ 30 & \$ 0 \\
• \hline \text { P(Amount won) } & \frac { 1 } { 4 } & \frac { 21 } { 64 } & \frac { 27 } { 64 }
• \end{array}\]
• B) \[\begin{array} { l | c c c c c }
• \text { Amount won } & \$ 80 & \$ 60 & \$ 30 & \$ 0 \\
• \hline P ( \text { Amount won) } & \frac { 1 } { 4 } & \frac { 9 } { 64 } & \frac { 3 } { 16 } & \frac { 27 } { 64 }
• \end{array}\]
• C) \[\begin{array} { l | c c c }
• \text { Amount won } & \$ 80 & \$ 30 & \$ 0 \\
• \hline \mathrm { P } \text { (Amount won) } & \frac { 1 } { 4 } & \frac { 3 } { 16 } & \frac { 9 } { 16 }
• \end{array}\]
• D) \[\begin{array} { l | c c c c c }
• \text { Amount won } & \$ 110 & \$ 80 & \$ 30 & \$ 0 \\
• \hline P ( \text { Amount won) } & \frac { 1 } { 16 } & \frac { 3 } { 16 } & \frac { 3 } { 16 } & \frac { 9 } { 16 }
• \end{array}\]
• E) \[\begin{array} { l | r c c }
• \text { Amount won } & \$ 80 & \$ 30 & \$ 0 \\
• \hline \text { P(Amount won) } & \frac { 1 } { 4 } & \frac { 1 } { 4 } & \frac { 1 } { 2 }
• \end{array}\]

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