About the first week of June of 2013 I did three snorts of cocain and need to take hair test in the first week of agust 2013. Now I haven't touched that stuff since then what are the odds of a positive hair test result. Would that amount meet the cut off line in the test ?

Its locked into your hair... and they will go after any hair on your body to get it.

You have to wait and find out... nobodies guesses amount to a hill of beans... its what the lab comes up with that counts.