Question

A coin is tossed. If it shows head, we draw a ball from a bag consisting of $3$ blue and $4$ white balls. If it shows tail we throw a die. The number of elements in the sample space of this experiment is:

• A. $13$
• B. $12$
• C. $14$
• D. $16$

Answer 1

The correct option is A $13$

Let us denote blue balls by $B_1,B_2,B_3,$ and the white balls by $W_1,W_2,W_3,W_4,$
Then a sample space of the experiment is :
$S=\{H{B}_1,H{B}_2,H{B}_3,H{W}_1,H{W}_2,H{W}_3,H{W}_4,T1,T2,T3,T4,T5,T6\}$

Clearly, total number of elements in the sample space is $13$