Yes you will pass the test. It is not detectable after 3months of none use
Can You Pass A Hair Follicle Test After You Smoked Marijuana 5 Months Ago?
I think it stays in your hair for about 1 year
Remember that the hair follicle test is like a history of what you've done. It's not a view of whether or not you're clean today. So, yes, it will show your history of having smoked weed.