If X is a random variable defined by the number of heads in three tosses of a coin, what would be the sample space?
Let's use the letters H and T for “head” and “tail” respectively. The sample space:
S={TTT,TTH,THT,THH,HTT,HTH,HHT,HHH}.S = \begin{Bmatrix} TTT,TTH,THT,THH,HTT,HTH,HHT,HHH\end{Bmatrix}.S={TTT,TTH,THT,THH,HTT,HTH,HHT,HHH}.
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