Question

Two dice are thrown at a time. Find the probability that the difference of numbers shown on the dice is $2.$

• A. $\frac{8}{36}$
• B. $\frac{19}{36}$
• C. $\frac{11}{36}$
• D. $\frac{7}{36}$

Answer 1

The correct option is A $\frac{8}{36}$

Two dice thrown at a time.

probability that the difference of number shown on the dice is $2$.

Two dice thrown we get $36$ result.

$(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)$

$(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),$

$(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),$

$(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),$

$(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),$

$(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)$

$\to$ difference is $2$ result is $(1,3),(2,4),(3,1),(3,5),(4,2),(4,6),(5,3),(6,4)$ $\to 8$

Probability P(A) $=\frac{8}{36}=\frac{2}{9}$