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Math Help - Exculusive/non exclusive?

  1. #1
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    Exculusive/non exclusive?

    1. A six-sided die is rolled twice. Sketching a sample space to show all the outcomes might be useful. Calculate the following probabilities.
      1. Both rolls result in a sum of 3 or both rolls result in doubles
      2. Both rolls result in a sum of 4 or both rolls result in doubles.
      3. Both rolls result in a sum that is odd or both rolls result in a sum that is even.
    a. P(A) + P(B) = 4/72 + 12/72
    b. 6/72 +12/72
    c. 36/72 + 36/72

    Please help
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  2. #2
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    For #2, the outcome set is \left\{ {(1,3),(3,1),(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} \right\}.

    So that probability is \dfrac{8}{36}.
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