One of the reasons that water and electricity create such a problem for people is because water is a poor conductor. Wet skin is a better conductor and if the body is in the current flow current will flow through the person. The current will flow on all available paths, with the most current on the path with the lowest resistance and the least on the highest resistance.
In this case the most current should flow between the hot and the grounded conductor connections at the radio, but there may be enough current on the path through the water to kill a person, assuming a metallic drain pipe. With no metallic connections in the tub, I don't think that there would be a problem, but don't try this at home folks.
Sparky,
In a related question, have you ever heard of a documented case of an EMT or other person using de-fib equipment getting shocked by touching the victim's body while it was getting zapped?
Don(resqcapt19)
