It is known from experience that in a particular industry, 60 percent of all labor-management
disputes are over wages, 15 percent are over working conditions, and 25 percent are over
fringe issues. Also, 45 percent of the disputes over wages are resolved without strikes, 70
percent of the disputes over working conditions are resolved without strikes, and 40 percent
of the disputes over fringe issues are resolved without strikes.
(a) What is the probability that a labor-management dispute in this industry will be resolved
without a strike?
(b) If a labor-management dispute in this industry is resolved without a strike, what is the
probability it was over wages?