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

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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