Risk of a natural-gas pipeline accident. Process Safety Progress (Dec. 2004) published a risk analysis for a natural-

gas pipeline between Bolivia and Brazil. The most likely scenario for an accident would be natural-gas leakage from a hole in the pipeline. The probability that the leak ignites immediately (causing a jet fire) is .01. If the leak does not immediately ignite, it may result in the delayed ignition of a gas cloud. Given no immediate ignition, the probability of delayed ignition (causing a flash fire) is .01. If there is no delayed ignition, the gas cloud will disperse harmlessly.

Suppose a leak occurs in the natural-gas pipeline. Find the probability that either a jet fire or a flash fire will occur.

Illustrate with a tree diagram.