iTunes Isn't Opening when You Plug in Your iPhone (Fix)

I guess this happens sometimes, for no clear reason, iTunes stops automagically opening when you plug in your iPhone.  (Weird, because iPhoto still opens happily.)  Well it's possible that iTunes Helper went and borked itself, so before you go down a more complicated rabbit-hole, try this quick fix.

• Plug in yer iPhone.
• Open iTunes.  (If it wants to sync, at this point, let it go ahead and finish.)
• Click your iPhone in the left-hand part of iTunes, under Devices.
• In the right-hand side, under Options, deselect "Open iTunes when this iPhone is connected."
• Click the button in the lower-right to Apply, and then click Sync.
• Now, again, under Options, click to re-select "Open iTunes when this iPhone is connected."
• Again, click the Apply button.
• At this point, you will hopefully get a dialog telling you that iTunes Helper will be installed.
• Click OK to install it on your Mac.
• Unplug your iPhone.
• Close iTunes.
• Plug your iPhone in and see if iTunes opens automagically.

If that wasn't the problem, I'm afraid you're on your own.  This worked for me .. so I won't have to write a more complicated how-to until it breaks worse.  Hopefully my iPhone doesn't consider that a challenge.