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

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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