Will it be rainy between June 04-08, 2013 in HK? AJ

My family and I will be in HK from June 04-08, 2013. While we are not that concerned with the heat, I am a bit worried about the rains though. Will it be rainy during those times? If so, could anyone provide specifics as to what particular day as we may need to adjust our tours to accommodate such incidents. Thanks much! - AJ