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21 January, 09:33

Todd is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even} and let B = {the sum of the number cubes is divisible by 2}. List the outcomes in A ∩ B.

{3, 6, 9, 12}

{2, 4, 6, 8, 10, 12}

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

{0,2,4,6,8,12}

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  1. 21 January, 10:13
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    2 number cubes.

    Let A = {the sum of the number cubes is even}

    Let B = {the sum of the number cubes is divisible by 2}

    Let A = {2,4,6,8,10,12}

    Let B = {2,4,6,8,10,12}

    A ∩ B refers to intersection of events where A intersect B. Intersection refers to the sums that are common between that two events. These sums are both even and divisible by 2.

    The outcomes in A ∩ B are {2, 4, 6, 8, 10, 12}.

    All even numbers are divisible by 2.
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