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29 April, 02:23

Select the correct answer. If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages? A. 16 B. 12 C. 64 D. 81

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  1. 29 April, 02:34
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    The total number of elements in the sample space of the experiment for 3 stages = 64 (C)

    Step-by-step explanation:

    The number of equally likely sample outcomes of the single stage experiment = 4

    For n number of stages, the total number of elements in the sample space = (outcome of a single stage) ^n

    This is = 4^n

    To determine the total number of elements in the sample space if the experiment has 3 stages, we would multiply the outcome of one experiment three times.

    Where n = 3

    The total number of elements in the sample space of the experiment for 3 stages = 4³

    = 4*4*4 = 64

    The total number of elements in the sample space of the experiment for 3 stages = 64 (C)
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