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24 October, 01:31

Suppose an experiment has 3 stages: A, B, and C. If stage A has 6 outcomes, stage B has 4 outcomes, and stage C has 3 outcomes. how many outcomes does the entire experiment have?

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  1. 24 October, 01:33
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    72

    Step-by-step explanation:

    Stage A has 6 outcomes, then B has 4 and C has 3

    Take for example only 1 outcome of A, it will have 4 outcomes of B and each outcome of B will have 3 outcomes.

    Then a single outcome of A has a total of 12 outcomes (4*3)

    Writing it in a way A, B, C:

    1,1,1

    1,1,2

    1,1,3

    1,2,1

    1,2,2

    1,2,3

    1,3,1

    1,3,2

    1,3,3

    1,4,1

    1,4,2

    1,4,3

    This is only taking in consideration 1 outcome of A, A has a total of 6 outcomes.

    The total of outcomes in the experiment = 6*12=72
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