You Roll a Fair Die B) C) D) E) $$\begin{array} { l | c c } \text { Amount won } & \$ 70 & \$ 30 \\\hline \text { P(Amount won) } & \frac { 2 } { 6 } & \frac { 4 } { 6 }\end{array}$$

You roll a fair die.If you get a number greater than 4,you win $70.If not,you get to roll again.If you get a number greater than 4 the second time,you win $30.Otherwise you win nothing. Create a probability model for the amount you win at this game.

A) $$\begin{array} { l | c c c } \text { Amount won } & \$ 70 & \$ 30 & \$ 0 \\\hline \text { P(Amount won) } & \frac { 2 } { 6 } & \frac { 8 } { 36 } & \frac { 16 } { 36 }\end{array}$$
B) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 100 & \$ 70 & \$ 30 & \$ 0 \\\hline \mathrm { P } \text { (Amount won) } & \frac { 4 } { 36 } & \frac { 8 } { 36 } & \frac { 8 } { 36 } & \frac { 16 } { 36 }\end{array}$$
C) $$\begin{array} { l | c c c } \text { Amount won } & \$ 70 & \$ 30 & \$ 0 \\\hline \mathrm { P } \text { (Amount won) } & \frac { 2 } { 6 } & \frac { 2 } { 6 } & \frac { 2 } { 6 }\end{array}$$
D) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 100 & \$ 70 & \$ 30 & \$ 0 \\\hline \mathrm { P } \text { (Amount won) } & \frac { 4 } { 36 } & \frac { 2 } { 36 } & \frac { 2 } { 36 } & \frac { 16 } { 36 }\end{array}$$
E) $$\begin{array} { l | c c } \text { Amount won } & \$ 70 & \$ 30 \\\hline \text { P(Amount won) } & \frac { 2 } { 6 } & \frac { 4 } { 6 }\end{array}$$

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