There is a psychological aspect to this question, spin vs. spin all. I believe someone earlier mentioned that it clicking spin 3 times and checking each time might provide an illusion of sorts. This is true, its that same psychology they use in vegas. Personally I feel that I win more (both in coins and cards) when i use spin, but thats just me.
as for the issue of stats, I spent a summer in a stats class then helping teach that same class, and like Scaredgirl said, you are going to need a large sample size. Or you will have to do some really complex stats to make up for it.
On the subject of RGN (random number generators), the sad truth is that no RGN is totally random because it is based on a program. Having said that there are some very very good RGNs out there. I don't know how this spinner works or anything like that, but I like it. I got 4 green shards (still waiting for enough money to up them) off the spinner while farming Top 50