A Carnival Game Offers A(n)$80 Cash Prize for Anyone Who

A carnival game offers a(n) $80 cash prize for anyone who can break a balloon by throwing a dart at it.It costs $5 to play and you're willing to spend up to $20 trying to win.You estimate that you have a(n) 12% chance of hitting the balloon on any throw. Create a probability model for the amount you will win.Assume that throws are independent of each other.Round to four decimal places if necessary.

A) $$\begin{array} { l | l c c c c } \text { Amount won } & \$ 75 & \$ 70 & \$ 65 & \$ 60 & - \$ 20 \\\hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.0720\end{array}$$
B) $$\begin{array} { l | l c c c } \text { Amount won } & \$ 75 & \$ 70 & \$ 65 & \$ 60 \\\hline \mathrm { P } \text { (Amount won) } & 0.12 & 0.1056 & 0.0929 & 0.6815\end{array}$$
C) $$\begin{array} { l | l c c c c } \text { Amount won } & \$ 80 & \$ 75 & \$ 70 & \$ 65 & - \$ 20 \\\hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.0720\end{array}$$
D) $$\begin{array} { l | l c c c c } \text { Amount won } & \$ 75 & \$ 70 & \$ 65 & \$ 60 & - \$ 20 \\\hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.5997\end{array}$$
E) $$\begin{array} { l | l c c c c } \text { Amount won } & \$ 80 & \$ 75 & \$ 70 & \$ 65 & - \$ 20 \\\hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.5997\end{array}$$

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