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    Elements of Sample Space

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    A) Toss a coin 4 time or toss 4 coins once. List the elements of the sample space of the experiment.
    b) how many 4-digit numbers can be formed from the digits if
    - each digit can be used only once
    - the digits may be repeated?

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    Solution Preview

    Hi, here is the solution.

    a) A coin is tossed 4 times. So the number of sample space will be 2^4 (16).

    sample space: {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THTH, TTHH, ...

    Solution Summary

    This solution models the experiment of tossing a coin and lists the elements of the sample space and determines how many four-digit numbers can be formed if each digit is used once and if the digits can be repeated.