Question

A box contains $1$ red and $3$ identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment

Answer 1

A box contain $1$ red and $3$ identical white balls

Let $R$ denote the red ball and $W$ denote the identical white ball

The $2$ ball selected at random in succession without replacement

Sample space is

$S=\{RW,WR,WW\}$

$1st$ ball $2nd$ ball

$R$ $W$

$W$ $R$

$W$ $W$