Answer: [tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
We know that the a dice has total 6 outcomes.
When a pair of dice is tossed then the total number of outcomes will be :-
[tex]6\times6=36[/tex]
The outcomes of that shows sum to be 9:-
[tex](3,6),\ (6,3),\ (5,4),\ (4,5),\[/tex]
Now, the the probability that both rolls give a sum of 9 will be :_
[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{4}{36}=\dfrac{1}{9}[/tex]\
Hence, the probability that both rolls give a sum of 9 = [tex]\dfrac{1}{9}[/tex]
