A Couple Plans to Have Children Until They Get a Boy,but

Multiple Choice

A couple plans to have children until they get a boy,but they agree that they will not have more than four children even if all are girls. Create a probability model for the number of children they will have.Assume that boys and girls are equally likely.

A) $$\begin{array} { l | c c c c } \text { Children } & 1 & 2 & 3 & 4 \\\hline \text { P(Children) } & 0.5 & 0.25 & 0.125 & 0.125\end{array}$$
B) $$\begin{array} { l | c c c c c } \text { Children } & 1 & 2 & 3 & 4 & 5 \\\hline \text { P(Children) } & 0.5 & 0.25 & 0.125 & 0.0625 & 0.0625\end{array}$$
C) $$\begin{array} { l | c c c } \text { Children } & 1 & 2 & 3 \\\hline \mathrm { P } \text { (Children) } & 0.5 & 0.25 & 0.25\end{array}$$
D) $$\begin{array} { l | c c c c } \text { Children } & 1 & 2 & 3 & 4 \\\hline \mathrm { P } \text { (Children) } & 0.5 & 0.25 & 0.125 & 0.0625\end{array}$$
E) $$\begin{array} { l | c c c c } \text { Children } & 1 & 2 & 3 & 4 \\\hline \text { P(Children) } & 0.25 & 0.25 & 0.25 & 0.25\end{array}$$