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

Multiple Choice

You pick a card from a deck.If you get a face card,you win $15.If you get an ace,you win $20 plus an extra $60 for the ace of hearts.For any other card you win nothing. Create a probability model for the amount you win at this game.

A) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 15 & \$ 20 & \$ 60 \\\hline \mathrm { P } \text { (Amount won) } & \frac { 39 } { 52 } & \frac { 4 } { 52 } & \frac { 4 } { 52 } & \frac { 1 } { 52 }\end{array}$$
B) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 15 & \$ 20 & \$ 80 \\\hline \mathrm { P } \text { (Amount won) } & \frac { 36 } { 52 } & \frac { 12 } { 52 } & \frac { 3 } { 52 } & \frac { 1 } { 52 }\end{array}$$
C) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 15 & \$ 20 & \$ 80 \\\hline \mathrm { P } \text { (Amount won) } & \frac { 32 } { 52 } & \frac { 16 } { 52 } & \frac { 3 } { 52 } & \frac { 1 } { 52 }\end{array}$$
D) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 15 & \$ 20 & \$ 60 \\\hline \text { P(Amount won) } & \frac { 36 } { 52 } & \frac { 12 } { 52 } & \frac { 3 } { 52 } & \frac { 1 } { 52 }\end{array}$$
E) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 15 & \$ 20 & \$ 80 \\\hline \text { P(Amount won) } & \frac { 36 } { 52 } & \frac { 12 } { 52 } & \frac { 4 } { 52 } & \frac { 1 } { 52 }\end{array}$$