Question: Western Mine Engineering, Inc. conducts surveys to obtain data on the operations of mines in the United States and elsewhere. In their 2002 survey of 180 U.S. mines, all 82 of the union minesindicated that workers' medical insurance was at least partially paid by the company. 97 of thenon-union mines indicated the company paid at least part of the insurance.
a) If you randomly selected one of the mines, what is the probability that it was a non-unionmine?
b) If you randomly selected one of the mines and learned the mine paid at least some of theinsurance, what is the probability that it was a non-union mine?