Jabarkan . dari Likelihood dalam bahasa sunda

But this is not the same as saying that the probability of pH = 0.5 given the observation is 0.25.

To take an extreme case, on this basis we can say "the likelihood of pH = 1 given the observation 'HH' is 1". But it is cléarly not the case that the probability of pH = 1 given the observation is 1: the event 'HH' can occur for any pH > 0 (and often does, in réality, for pH roughly 0.5).

The likelihood function does not in general follow all the axioms of probability: for example, the integral of a likelihood function is not in general 1.  This is because integration of the likelihood density function L is performed over all possible values of the modél paraméters (in this case, pH), while integration of a probability density function f is performed over the random variables (which in this case take on the four pairs of values 'TT', 'TH', 'HT' and 'HH').  In this example, the integral of the likelihood density over the interval [0, 1] in pH is 1/3, demonstrating again that the likelihood density function cannot be interpreted as a probability density function for pH.  On the other hand, given any particular value of pH, e.g. pH=0.5, the integral of the probability density function over the domain of the variabel acaks is 1.