I think it is 114/216.
I have taken all the permuations of the three DICE numbers exeeding 10 i.e. 11 to 18. Hope my counting is correct
I edited this problem once. However, it did not get reflected. The first answer I gave was 54.
OlegC-awaiting the short-cut
Mr. Smith throws three dice and scores 10 (for example 5+2+3 or 4+4+2)
Mr. Brown throws dice next. What is the probability that Mr. Brown will outscore Mr. Smith?
(time - 1 minute)