Answer :
a) Sample space is {HHH, HHT.HTH,THH,TTT,TTH,THT,HTT}.
b) The assignment of probabilities to outcomes in this sample space is 1/8.
Define probability.
By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are just two outcomes when you flip a coin: either it comes up heads or tails.
Given,
(A) What is the scope of this random process' sample space?
There are three possible results from tossing a coin three times.
The sample area connected to the specified random process is:
S = {HHH, HHT.HTH,THH,TTT,TTH,THT,HTT}
(b) How are outcomes in this sample space assigned probabilities?
Since there are eight possible outcomes in the sample space supplied, and we are aware that a fair coin is tossed three times, As a result, the likelihood of every event listed in the provided sample space is the same. Thus, we have:
Probability = 1/8
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