Question

For a two-child family, let E be “both children are boys” and F be “at least one child is a boy.” Which pair correctly gives E and F?

Options

• \[E=\{(b,b),(g,g)\},\quad F=\{(g,b),(b,g)\}\]

• \[E=\{(b,b),(g,b),(b,g)\},\quad F=\{(b,b)\}\]

• \[E=\{(b,b)\},\quad F=\{(b,b),(g,b),(b,g)\}\]

• \[E=\{(g,g)\},\quad F=\{(b,b),(g,g)\}\]

Answer 1

Both children are boys only for \[(b,b)\]. At least one child is a boy includes every outcome except \[(g,g)\].