Question 1193150
Solution 2.

Prime Numbers                                        Pair
2                                                     1
3                                                     2
5                                                     4
7                                                     6
11                                                    2
                
                                               Total  15 pairs

Sum of numbers greater than 5                       Pair

6                                                     5
8                                                     5
9                                                     4
10                                                    3
12                                                    1

                                             Total   18 pairs

In total, there are 15 + 18 = 33 favorable pairs

Therefore, Probability P = 33/36 = 11/12