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Imagine tossing a fair coin 3 times. What is the sample space for this chance process, and what is the assignment of probabilities to outcomes in this sample space?

Author:
February 20th, 2023

See explanation.
If we mark “heads” with ##H## and “tails” with ##T## we can write that:
##Omega={HHH,HHT,HTH,HT T,THH,THT,T TH,T T T}##
So there are ##8## events in the sample space. If we assume that the coin is fair then each event is equally possible, so all events mentioned in the sample space have probability of
##p=1/(bar(bar(Omega)))=1/8##

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