Answer:
The probability of getting two numbers whose sum is greater than 9 and less than 13 is 
Step-by-step explanation:
Given : A single 6-sided die is rolled twice. 
To find : The probability of getting two numbers whose sum is greater than 9 and less than 13 ?
Solution : 
The set of 36 equally likely outcomes,
           1              2              3              4               5             6
1	(1, 1)	(1, 2)	(1, 3)	(1, 4)	(1, 5)	(1, 6)
2	(2, 1)	(2, 2)	(2, 3)	(2, 4)	(2, 5)	(2, 6)
3	(3, 1)	(3, 2)	(3, 3)	(3, 4)	(3, 5)	(3, 6)
4	(4, 1)	(4, 2)	(4, 3)	(4, 4)	(4, 5)	(4, 6)
5	(5, 1)	(5, 2)	(5, 3)	(5, 4)	(5, 5)	(5, 6)
6	(6, 1)	(6, 2)	(6, 3)	(6, 4)	(6, 5)	(6, 6)
Getting two numbers whose sum is greater than 9 and less than 13 
The favorable outcome is (4,6),(5,5),(5,6),(6, 4),(6, 5),(6, 6) = 6
The probability is given by,



Therefore, The probability of getting two numbers whose sum is greater than 9 and less than 13 is 