This is core on jinx:

Build two of these:

Note: you should have at least one of Static Shiv or PD
And one of these:
If they have a fed assassin.
If they have a long range cc that would mean death (like morgana or thresh).
Or if they have people who are dependent on a combo
Or if they are mostly magic damage
If only AD champs are able to hit you.
Very rarely, if you built
AND they have no burst, you can get 
If you're in unranked, and just going for the lolz, you can skip the defensive item, and just get 3 items from the second list, or
. Before those of you who are experienced yell at me for this, it's because the rocket splash damage splashes on runaan's shots, too (like runaan's Kayle), and OP wanted maximum AA damage, not maximum damage overall.
If you get
, you should have only 1 of
.
Note: this is not a build ORDER.
The order should be:
[
&
]

Those are example items, but that's a build that it's pretty hard to go wrong with (although you can certainly do better builds, based on the situation).