Ok, so I want to try out an Appropriate(the continuous trap)draw engine, seeing how it has the potential to gain a massive hand advantage. But the thing is, I have a few questions in terms of the ruling, seeing how a lot of people that I see dueling with this engine use it differently.

First question is, when the card is first activated, can I draw 2 cards?


Second, does the effect mean that for each time the opponent draws 1 card, I draw 2, or do I draw 2 cards for the whole effect?


I may have some more questions about this, so I might add to this later on.

no you dont start off drawing 2 and say you dark bribe his mst you draw 2 for appropriate

This along with Super rejuvanation are the two insta draw cards I highly dont recommend

I have seen to many people Deck out from drawing exodia with super rejuv[Yes you deck out if you draw out after drawing exodia....the duel doesnt end once you draw it that way...lol its dumb]

Ok, let me explain.
First of all, to answer your questions:
1) You don't draw 2 cards when the card is first activated, it needs to be Face-up on the field when your opponent draws.
2) Every time your opponent draws a card OR cards, you draw 2 cards IF Appropriate is face-up on the field.
Now that your questions are answered, and before you start using this card, it misses timing A LOT. It doesn't work with every card that makes your opponent draw 1. The last thing to happen at resolution NEEDS to be your opponent drawing 1 card(s), otherwise you will NOT get Appropriate's effect. For example...
1. Dark World Dealings and Appropriate. Notice how DWD's effect is "Draw 1, discard 1"?
That means Appropriate can NOT be chained to it, because the last thing to happen was discarding, not drawing. Thus you can not activate Appropriate. However, if Appropriate was already face-up when resolving DWD, you would draw 2 cards, because the card is already face-up when DWD resolves.
2. Dragged down into the grave and Appropriate. Dragged down says "Both players show hands, choose 1 card and discard it, then draw 1."
The last thing to happen was drawing, not discarding, so you can chain Appropriate to it, although, you will not draw, because, as I said earlier, it NEEDS to be face-up.

Before you say "this card is epic against Dark World!", it's not. Most DW cards will not trigger it's effect (only Broww and Dragged Down do), and since it needs 1 of these cards to be activated (and you do not draw 2 because of it), the chances of it being useful are slim, since I think the opponent would be smart enough not to use cards that make you draw.

If you have any other questions, just ask. I'll be happy to answer.

Thanks Syrufit, you clarified a lot for me . But do think it can still be a legit draw engine for a typical deck by adding one day of peace? If not, do you know a good draw engine that can be added into almost any deck?

I doubt it can be of any use with just 3 cards. So nope.
A good draw engine that can be added in any deck.. doesn't exist. There are support cards that let you draw for a cost, like Allure of Darkness, Solar Recharge etc.
If you want drawpower I suggest you use Dark World related cards, like Dragged down to the grave, Dark World Dealings etc.
Other cards are Reckless Greed and Upstart Goblin.

Draw engines are dependent on the type of deck. Not all decks can even support a draw engine, although you can try. I mean, if you really want to, you can throw in the D-draw engine into pretty much ANY deck, but it won't be useful if it knocks out the consistency or general purpose of the deck. You might have you're d-draws and D-HEROs, but the rest of your deck might suffer from having those cards in it.