Outcome space

Let \(\Omega\) be an outcome space with 16 outcomes. \(A\) and \(B\) are events inside of \(\Omega\). Event \(A\) has 10 outcomes and event \(B\) has 10 outcomes.

  1. Determine all the possible values of \(\# (A\cap B).\)
  2. Determine all the possible values of \(\# (A\cup B).\)
  3. Determine all the possible values of \(\#(A^c\cup B^c).\)
  4. Determine all the possible values of \(\# (A^c\cap B^c).\)

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