Question

A family has two children, with b for boy and g for girl. Which sample space lists all four equally likely ordered outcomes?

Options

• \[S=\{(b,b),(g,g)\}\]

• \[S=\{b,g\}\]

• \[S=\{(b,b),(g,b),(b,g),(g,g)\}\]

• \[S=\{(b,g),(g,b),(g,g)\}\]

Answer 1

Each child can be a boy or girl, and the ordered pairs represent the two-child outcomes. Thus there are four equally likely outcomes in S.