Logic chips are taken from a container, tested individually, and labeled defecti

Question

Logic chips are taken from a container, tested individually, and labeled defective or good. The testing process is continued until either two defective chips are found or five chips are tested in total. Using a tree diagram, exhibit a sample space for this process

Explanation / Answer

While uploading the diagram, there are some errors being shown. So the sample space is being described below without the tree.Each line describes the paths through the tree. For every stage there are two possibilities D(defective) and G(good) start->D->D->stop start->D->G->D->stop start->D->G->G->D->stop start->D->G->G->G->G or D -> stop start->G->D->D->stop start->G->D->G->D->stop start->G->D->G->G->G or D ->stop start->G->G->D->D->stop start->G->G->D->G->G or D-> stop start->G->G->G->D or G -> D or G -> stop

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