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A company is to hire two employees. They have prepared a final list of eight candidates,...

A company is to hire two employees. They have prepared a final list of eight candidates, all of whom are equally qualified. Of these eight candidates, five are women. If the company decides to select two persons randomly from these eight candidates, what is the probability that:

  1. Both candidates are women.
  2. The second candidate is a woman.
  3. The first candidate is a woman given that first one is a woman
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