Free Action Economy and Combat Style Master

[JAMRenaissance]

I'd like for my "math to be checked".

OK, because you can attach any number of free actions to an action, this means that you should be able to do a free action during an immediate action. So, if I have Combat Style Master, Crane Wing, and Snake Style, I could end my turn in Snake Style after fighting defensively, activate the Snake Style immediate action if I'm attacked off of my turn, and then as a free action switch to Crane Wing for the +8 bonus on the next attack.

Is that correct? It does involve fighting defensively even when not using Crane Style, just in case you do decide to switch to Crane Style...

[dragonhunterq]

You cannot take free actions when it's not your turn unless the ability specifies you can, or an otherwise legal action requires that free action to perform as per this FAQ