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Solve the following.
There are three machines and 2 of them are faulty. They are tested one by one in a random order…
There are three machines and 2 of them are faulty. They are tested one by one in a random order till both the faulty machines are identified. What is the probability that only two tests are needed to identify the faulty machines?
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From ISC 2025 Specimen Mathematics Paper 1, question 1(xv).