SOLUTION: A coin is tossed three times. Define an appropriate sample space for the following cases: i. The outcome of each individual toss is of interest. ii. Only the number of trials is

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Question 1125123: A coin is tossed three times. Define an appropriate sample space for the following cases:
i. The outcome of each individual toss is of interest.
ii. Only the number of trials is of interest.
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
i.  In this case, the sample space is the set of all words of the length 3 written in the 2-letter alphabet {T,H}.


    This set contains 2%5E3 = 8 words / elements

    {TTT, TTH, THT, THH, HTT, HTH, HHT, HHH}.




ii.  As it is formulated in the post, "Only the number of trials is of interest",

     the formal answer is "the space consists of one element, which is the number 3."


     // But I believe that the question is formulated incorrectly in this case.