I would start with trading because of the fact that its easy and also very profitable with such amounts.
The fact that trading is not easy to do so unless you do have experience in trading already. This is what is on my mind if I am barely earning this amount of money on a daily basis. And still I would invest into real investments like investing to investment bonds of different banks even though returns are not that big in short term but if that will be in long term that can be big profit.
You are right about this but if you have some experience you can do this and make some good money of course you need a bit of luck but that is logical.
Luck is always there but in able that we need to have that luck we need to do something to use that luck. But it is not just going to work out if we are not going to do with it. As long as you know what you are investing with that money and you are decided to make that money grow in a legal way. Then you need to stick with it.
For me I wont rely too much on luck specially on making some investments and as a sensible person/investor you would really want to make it sure on how and where you would put your money because if you know how on what you are doing then chances of making profits is high that's why luck isn't really necessary anytime to make money.
If I have those amounts per day I would save it and setting a target price to invest later on.