Question: In practice, one must decide whether to treat two events as independent based on an understanding of the process that creates them. For example, in

In practice, one must decide whether to treat two events as independent based on an understanding of the process that creates them. For example, in a manufacturing process that produces electronic circuit boards for calculators, assume that the probability that a board is defective is 0.01. You arrive at the manufacturing plant and sample the next two boards that come off the assembly line. Let A be the event that the first board is defective, and let B be the event that the second board is defective. Describe circumstances under which A and B would not be independent.

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