At a car production line in a factory, each engine produced is tested to examine whether it is ready for use or has some fault.

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At a car production line in a factory, each engine produced is tested to examine whether it is ready for use or has some fault. If two consecutive engines that are examined are found faulty, the production process stops and is revised (in such a case, the experiment is terminated). Otherwise, the process continues.

(i) Provide a suitable sample space to describe the inspection process of the engines.

(ii) Find an expression to describe each of the following events Ai: the production line will be revised after i engines have been examined for i = 2, 3, 4, 5, 6.