Refer to the Process Safety Progress (December 2004) study of 83 industrial accidents caused by management system failures, Exercise 2.150. A summary of the root causes of these 83 incidents is reproduced in the following table. One of the 83 incidents is randomly selected and the root cause is determined.

a. List the sample points for this problem and assign reasonable probabilities to them.
b. Find and interpret the probability that an industrial accident is caused by faulty engineering and design.
c. Find and interpret the probability that an industrial accident is caused by something other than faulty procedures and practices.

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Management System Cause Category Number of Incidents Engineering and Design Procedures and Practices Management and Oversight Training and Communication 27 24 22 10 Total 83