Question

Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is planning on having three children.List the elements of the event that the Lins have at least one girl. (Use B to represent boy, and G to represent girl. For example, ifthere are three girls born, it would be represented as GGG. Enter your answers as a comma-separated list.)}

Answer 1

If the Lins have at least one girl, there can be 1 girl, 2 girls, or 3 girls among the 3 children.

The possible events can be gotten by placing the girl child in different orders and completing the free positions with boys.

One Girl:

$\begin{gathered} BBG \\ BGB \\ GBB \end{gathered}$

Two Girls:

$\begin{gathered} GGB \\ GBG \\ BGG \end{gathered}$

Three Girls:

$GGG$

ANSWER

$BBG,BGB,GBB,GGB,GBG,BGG,GGG$