Online Casino Question

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Since I have been logging my blackjack and pontoon sessions, I have wagered $8936 with a total number of trials at 3837 (hands dealt) - $2 per unit flat betting.

I am now down 244 units during this sample. The house edge in Pontoon is 0.17% and Blackjack is 0.66%. Pontoon comprises 60% of this sample size. I play PERFECT basic strategy in each game to ensure that the house edge is a reliable indicator for what I can expect to lose over the long run.

I believe the probability of doing this poorly or worse over the size of this sample is 0.37%. Now I know that some unlucky bastard (me) has to be a data point on the far end of the distribution chart, but I find this to be almost inconceivable given that this is my first shot at online casino gambling.

The casinos I have played at in this sample are very reputable. I believe the software is very reputable (Cryptologic) as well.

So my question is whether or not my sample size is large enough to make any conclusions about the fairness of the game? If not, how large should the sample be?