Are you saying simply that over 3 btc a day is being claimed from the faucet? Or are you actually paying out (people withdrawing) over 3 btc a day that can be traced back to an initial faucet claim?
Two quite different things. The former doesn't say much as most people claim faucet, gamble it, lose it and repeat - you are not out of pocket at all.
In theory there shouldn't be a huge difference between the two numbers. The house edge is pretty small.
If you give out 1000 satoshis, but don't let people withdraw until they have 100k satoshis, you're going to see about 99 out of ever 100 gifts be lost, but 1 in 100 will turn into 100k and get withdrawn.
As we've seen on the various sites that make their actual profit vs. turnover public, the actual profit made by dice sites is often very different than the expected profit, but as a first approximation you can expect to lose roughly the same amount that you give out in the long run.