You Roll a Pair of Fair Dice B) C) D)

Multiple Choice

You roll a pair of fair dice.If you get a sum greater than 10 you win $50.If you get a double you win $40.If you get a double and a sum greater than 10 you win $90.Otherwise you win nothing. Create a probability model for the amount you win at this game.

A) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\\hline \text { P(Amount won) } & \frac { 28 } { 36 } & \frac { 5 } { 36 } & \frac { 2 } { 36 } & \frac { 1 } { 36 }\end{array}$$
B) $$\begin{array} { l | l l l } \text { Amount won } & \$ 0 & \$ 40 & \$ 50 \\\hline \mathrm { P } \text { (Amount won) } & \frac { 27 } { 36 } & \frac { 6 } { 36 } & \frac { 3 } { 36 }\end{array}$$
C) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\\hline \text { P(Amount won) } & \frac { 27 } { 36 } & \frac { 5 } { 36 } & \frac { 3 } { 36 } & \frac { 1 } { 36 }\end{array}$$
D) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\\hline \text { P(Amount won) } & \frac { 26 } { 36 } & \frac { 6 } { 36 } & \frac { 3 } { 36 } & \frac { 1 } { 36 }\end{array}$$
E) $$\begin{array} { l | c c c c } \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\\hline \text { P(Amount won) } & \frac { 27 } { 36 } & \frac { 6 } { 36 } & \frac { 2 } { 36 } & \frac { 1 } { 36 }\end{array}$$