Why am I in this world and not another?
Why does the universe appear random?
These are really the same questions. Consider, for a moment, this
analogy:
(See "How do probabilities emerge within many-worlds?" for how the
subjective randomness is moderated by the usual probabilistic laws of
QM.)
[*] Split brain experiments were performed on epileptic patients
(severing the corpus callosum, one of the pathways connecting the
cerebral hemispheres, moderated epileptic attacks). Complete
hemispherical separation was discontinued when testing of the patients
revealed the presence of two distinct consciousnesses in the same skull.
So this analogy is only partly imaginary.