I kdybys hodil znovu, stále můžu vyhrát.

Here i means even.

So I kdybys hodil znovu means Even if you rolled/threw again.

This is a very common pattern in Czech:

• i kdyby... = even if...
• i když... = even though / although...

So the i is not the English and here. It adds the idea of even.

Kdybys is the conditional form meaning if you were to... / if you... for you singular.

It is built from:

• kdyby = if
• -s / bys = the conditional person ending for you singular

So:

• kdybych = if I
• kdybys = if you
• kdyby = if he/she/it
• kdybychom = if we
• kdybyste = if you plural / formal
• kdyby = if they

A learner often wonders whether it should be kdyby jsi. In standard Czech, it is kdybys, not kdyby jsi.

It does look like a past form, but in this structure it is part of the conditional construction, not just a normal past tense.

Czech forms this kind of hypothetical clause with:

• kdyby-
  • person ending
• the l-participle of the main verb

So:

• kdybys hodil = if you threw / if you were to throw / if you rolled

Even though hodil is also the masculine past form of hodit, here the whole expression is understood as hypothetical, not necessarily past in time.

This is normal Czech grammar:

• Kdybys přišel... = If you came / were to come...
• Kdybys to udělal... = If you did / were to do it...

Yes, gender matters here.

Hodil is the masculine singular form, so it is used if the person being addressed is male.

If you were speaking to a woman, you would say:

• I kdybys hodila znovu, stále můžu vyhrát.

That is because the l-participle agrees in gender and number with the subject, even in conditional constructions.

So:

• to a man: kdybys hodil
• to a woman: kdybys hodila

Yes. The basic meaning of hodit is to throw, but in game contexts it can also mean to roll, especially with dice.

So depending on context:

• hodit míč = to throw a ball
• hodit kostkou = to roll a die / throw a die

In this sentence, if the meaning shown to the learner is about a game or dice, hodil znovu is naturally understood as rolled again.

Znovu means again / once again / anew.

You could often use zase in everyday speech, but there is a slight difference in feel:

• znovu = more neutral, clear again
• zase = very common in speech, but can also have other shades like back, again, or sometimes an annoyed yet again

So in this sentence, znovu is a straightforward choice for again.

Here stále means still.

So:

• stále můžu vyhrát = I can still win

It is similar to pořád:

• stále = still, continuously; a bit more neutral or slightly more formal
• pořád = still, all the time; very common in everyday speech

In many contexts they can both work:

• Stále můžu vyhrát.
• Pořád můžu vyhrát.

Both are natural, though stále may sound a little more neutral or written.

Because the speaker is stating a current possibility:

• stále můžu vyhrát = I can still win

The idea is: even under that hypothetical condition, my chance to win still exists now.

If you said:

• stále bych mohl vyhrát

that would mean something more like:

• I could still win

That version is also possible, but it sounds a bit more tentative or hypothetical.
The original sentence is stronger and more direct: the speaker says the ability or possibility remains.

Because Czech often leaves subject pronouns out when the verb form already shows the person.

So Czech does not need to say:

• I kdybys ty hodil znovu, stále já můžu vyhrát.

That would usually sound unnecessary.

The forms already tell us who is involved:

• kdybys = you singular
• můžu = I

Czech uses pronouns mainly for emphasis, contrast, or clarity.

No, Czech word order is fairly flexible, but the chosen order affects emphasis.

In this sentence:

• I kdybys hodil znovu, stále můžu vyhrát.

the first clause sets up the condition first: Even if you rolled again...

You could also reorder parts, for example:

• Stále můžu vyhrát, i kdybys hodil znovu.

That is also grammatical and natural. It puts the main point first: I can still win.

One important detail: i usually stands right before the thing it modifies.
So i kdybys... clearly means even if you...

Both are correct.

• můžu = very common in everyday standard Czech
• mohu = also standard, but more formal or bookish in many contexts

So:

• stále můžu vyhrát sounds natural and normal
• stále mohu vyhrát is also correct, just a bit more formal in tone

For most learners, můžu is the form they will hear most often in conversation.