Monk - Snatch Arrows & Precision Damage questions

[Fuelharp]

For the purpose of this question, you have character who is a Monk 6/Rogue 3.

If said character has Snatch Arrows, Deflect Arrows, and Throw Anything; When an NPC fires a bolt from a crossbow from 15' away, (and the monk is aware of said attack), he "snatches the arrow" and throws it back, now the question is, can he apply his sneak attack damage when he throws the crossbow bolt back at that NPC, IF in the intervening time between the moment of the capture of said bolt, and the throwing of it back, said NPC becomes flatfooted, immobilized, or otherwise loses his dexterity?

In my group, we long ago, said, yes, you can. By raw, I can't find anything saying otherwise, nor can I find any references to the same question on the boards here.

tl;dr

npc archer fires bolt, becomes distracted or otherwise engaged in such a way he loses his dex becoming flatfooted, can the monk catching the bolt hit him with it, and his 2d6 of sneak damage?

[Kazumetsa Raijin]

If he is somehow flatfooted before the arrow is thrown back, I don't see why the sneak attack damage couldn't apply. It sounds to me like the requirements for the precision damage would be met given the desired circumstances.

I really don't know how the Ranged Opponent could become flat footed immediately after firing his bolt though.

[ArmouredMonk13]

I think that if the case was something like you are facing an 9th level archer with full BAB, and he full attacks, if you catch and throw the arrow as he is about to fire his, there is no way for him to shoot you and dodge, so I'd say no Dex/Dodge bonus applies.