Water pump issue

My serpentine belt snapped while driving home; I had to have the car towed because I didn't want to risk my cylinder Head. Once at home I noticed the coolant from the radiator was leaking through the water pump and that pump became loose I can sway it side by side. Do I need a new pump and is this a common problem when the serpentine belt of the 740il broke?

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YES, your water pump has failed.

Is it common for the belt to break, no. Is it common for the water pump to fail, yes. Mine did the same thing 2 months ago. You need to replace it. About $140 for the pump at NAPA. Another $40 or so for the right coolant from NAPA. Takes about 4-5hrs to change. Not to bad of a job. However, Im guessing your not able to preform this task if your asking this question. Not sure what a shop would charge you. Maybe $500 or so. If you were close to me I would say lets do it the weekend....for a 6 pack. Hope everything works out for you.

Thx for your prompt reply and the generous offer. And yeah I'm all the way to Palm Beach FL,
I already looked up the pump on ebay, pretty affordable though. I also lined up a BMW mechanic for the job.
Have a nice week-end.