# Count values of a column if value in other column >x and create new data frame

I have the following data structure (which was actually created by counting the occurences of "Result" with ddply):

Experiment Result Count A 1 123 A 2 30 A 3 5 B 1 120 B 2 20 B 3 5 B 4 1 B 5 1 C 1 130 C 2 21 ...

I want to create a similar data frame that groups (calculates sum) of all results that are greater than 2.

Expected outcome:

Probably plyr can do this but I am new to R and have no idea how to use a custom condition (i.e. result 1,2,>2) and not just the distinct values of a column.

Note: I do not mind the name of the new bin (i.e., may be != '<2').