The values which can occur are 15, 16, 17, 18, 19 and 20.
15 can be made 6 ways : 1+14, 2+13, 3+12, 4+11, 5+10, 6+9.
16 can be made 5 ways : 2+14, 3+13, 4+12, 5+11, 6+10.
17 can be made 4 ways : 3+14, 4+13, 5+12, 6+11.
18 can be made 3 ways : 4+14, 5+13, 6+12.
19 can be made 2 ways : 5+14, 6+13.
20 can be made 1 way : 6+14.
The most likely total is 15. The least likely total is 20.
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