Izvuci jednu iz špila karata.

Izvuci is the imperative form, used to tell one person draw / pull out.

The dictionary form is izvući. In the imperative, some verbs change spelling a bit, so izvući becomes izvuci. This is normal in Serbian.

So:

• izvući = to draw out, to pull out
• izvuci! = draw! / pull one out!

Because jednu agrees with an implied feminine noun: kartu.

The full idea is really: Izvuci jednu kartu iz špila karata.

Since karta is feminine, one must also be feminine:

• masculine: jedan
• feminine: jedna
• feminine accusative: jednu

So jednu means one referring to one card.

It is accusative singular feminine.

It is in the accusative because it is the direct object of izvuci: it is the thing being drawn.

The omitted noun would also be accusative:

• jednu kartu

Yes, absolutely.

That version is fully correct and a bit more explicit: Izvuci jednu kartu iz špila karata.

The shorter version, Izvuci jednu iz špila karata, is also natural because the noun kartu is easy to understand from context. Serbian often leaves out a noun when it is obvious.

Because the preposition iz means out of / from, and it requires the genitive case.

So:

• špil → špila
• iz špila = out of the deck

That is why you get iz špila and not iz špil.

Because Serbian says špil karata for a deck of cards.

Here, karata is the genitive plural of karta. This is a very common Serbian structure: one noun followed by another noun in the genitive.

So:

• karta = card
• karte = cards
• špil karata = deck of cards

In this sentence, the whole phrase is:

• iz špila karata = from/out of the deck of cards

Izvući is a perfective verb, and that fits this situation because the command refers to one complete action: draw one card.

In Serbian, perfective imperatives are very common when you want someone to do a single finished action.

So:

• izvuci = draw one out, complete the action
• izvlači would sound more like keep drawing or be drawing, which is not the normal choice here

Yes. Izvuci is the imperative for one person in the informal ti form.

If you wanted to say it:

• to more than one person, or
• politely to one person

you would say:

Izvucite jednu iz špila karata.

So:

• izvuci = informal singular
• izvucite = plural or formal

No, Serbian word order is fairly flexible.

The given order, Izvuci jednu iz špila karata, is natural and neutral.

But other orders are possible for emphasis, for example:

• Jednu izvuci iz špila karata = emphasis on one
• Iz špila karata izvuci jednu = emphasis on from the deck

So the original version is just the most straightforward instruction.

A rough guide:

• izvuci ≈ eez-VOO-tsee
• jednu ≈ YED-noo
• špila ≈ SHPee-la
• karata ≈ KA-ra-ta

A few useful sound notes:

• j is like English y
• š is like English sh
• c is like ts

So the final c in izvuci is ts, not k or s.