Question

An experiment of rolling a pair of dice once is performed. The number of elements of this sample space is:

• A. $216$
• B. $36$
• C. $6$
• D. $24$

Answer 1

The correct option is B $36$

$S=(x,y):x$ is the number on the first die and $y$ is the number on the second die. The number of elements of this sample space is $6\times 6=36$ and the sample space is given below: $\left\{\right(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6\left)\right\}$