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Seven vitamin and five sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A

Seven vitamin and five sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person B. What is the probability that

  1. Person A was given a vitamin tablet?
  2. Person B was given a sugar tablet given that Person A was given a vitamin tablet?
  3. neither was given vitamin tablets?
  4. both were given vitamin tablets?
  5. Person A was given a sugar tablet and Person B was given a vitamin tablet?
  6. Person A was given a vitamin tablet and Person B was given a sugar tablet?
  7. exactly one person was given a vitamin tablet?

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