Likelihood of Snow in May?

Hi all,
I did the Overland track in September of this year in the snow. I didn't get a chance to do all of the sidetracks I wanted and next year I'm thinking I would incorporate the Walls into the journey similar to Frank in Oz's recent journey. I'm just wondering if May is similar to September for snow? I was really taken aback by the dramatic effect the snow has on the mountains and I really want to see it like that again. Mind you, it doesn't have to be the 1.3 meters I saw on the plateau in Sept. I also think I have a reasonable chance of convincing my better half to go.
Checking the rainfall gauges in Chapman's book it looks like the amount of precipitation is the same but I wonder if this translates to May snow = September snow.
Any opinions or direction are appreciated.
Great forum
I did the Overland track in September of this year in the snow. I didn't get a chance to do all of the sidetracks I wanted and next year I'm thinking I would incorporate the Walls into the journey similar to Frank in Oz's recent journey. I'm just wondering if May is similar to September for snow? I was really taken aback by the dramatic effect the snow has on the mountains and I really want to see it like that again. Mind you, it doesn't have to be the 1.3 meters I saw on the plateau in Sept. I also think I have a reasonable chance of convincing my better half to go.
Checking the rainfall gauges in Chapman's book it looks like the amount of precipitation is the same but I wonder if this translates to May snow = September snow.
Any opinions or direction are appreciated.
Great forum