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?

1 Answer
Daniel L.
Dec 2, 2015

See explanation.

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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