Given:
The objective is to find the probability of getting a total of 2 in tossing a pair of dice.
Since each dice contain 6 sides. So the sample space in rolling two dices is,
[tex]\begin{gathered} \text{n(S)=6}\times6 \\ n(S)\text{=3}6 \end{gathered}[/tex]
The sample space of getting sum of 2 is,
[tex]\text{Sum of 2=}\lbrace(1,1)\rbrace[/tex]
Thus, the number of sample space of getting a sum of 2 is one.
Then, the probability of getting a sum of 2 in rolling a pair of dice is,
[tex]\begin{gathered} P(sum\text{ of 2)=}\frac{n(sum\text{ of 2)}}{n(S)} \\ P(sum\text{ of 2)=}\frac{1}{36} \\ P(sum\text{ of 2)=}0.0278 \end{gathered}[/tex]
Hence, option (A) is the correct answer.
