Two dice are rolled. Determine the probability of the following. Rolling an even number or a number

Discussion in 'Calculator Requests' started by math_celebrity, Jun 9, 2024.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Two dice are rolled. Determine the probability of the following. Rolling an even number or a number greater than 6

    We want P(X = Even) or P(X>6)

    With 2 dice, our die totals are:
    2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

    Evens are: 2, 4, 6, 8, 10, 12
    > 6 = 7, 8, 9, 10, 11, 12

    When the problem states or it means either of the sets. When we take the union of both sets, we get:
    2,4,6,7,8,9,10,11,12

    This is 9 possible entries out of 12:
    9/12

    We can simplify this by dividing top and bottom by 3:
    P(X = Even) or P(X>6) = 3/4 or 0.75
     

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