{mi², represent, 1st} In statistics , the likelihood function (often simply the likelihood) is a function of the parameters of a statistical model that plays a key role in statistical inference . In non-technical parlance, "likelihood" is usually a synonym for " probability " but, in statistical usage, a clear technical distinction is made: the probability of some observed outcomes given a set of parameter values is referred to as the likelihood of the set of parameter values given the observed outcomes. For example in technical parlance, one may ask "If I were to flip a fair coin 100 times,
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