Question

A box contains $1$ red and $3$ identical white balls. Two balls are drawn at random in succession without replacement. The sample space for this experiment will be:
$(R$ denotes red ball and $W$ denotes white ball $)$

• A. $\{WR,RW\}$
• B. $\{WW,RW\}$
• C. $\{WW,WR\}$
• D. $\{WW,WR,RW\}$

Answer 1

The correct option is D $\{WW,WR,RW\}$

It is given that, a box contains $1$ red and $3$ identical white balls.
Given in the question that white balls are identical, therefore the event of drawing any one of the three white ball is same.
$\therefore$Sample space $S=\{WW,WR,RW\}$