Out of four machines, “Chris” knows that exactly two are faulty. He wants to test them one

Out of four machines, “Chris” knows that exactly two are faulty. He wants to test them one by one in a random order (without replacement) until he can identify the 2 faulty machines. Determine the sample space using F (faulty) to denote a faulty machine and W (works) to denote a machine that works fine. What is the probability that exactly two tests are needed to identify the 2 faulty machines?

 

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