Earlier quoted context omitted.
Suppose they are twins and therefore there is no older and younger. Does that change the probability from 2/3 in the first case?
I guess this is one of a few place to answer mu. One of the twins is still considered to be born first and therefore older :-)
While you may argue that one twin is always born first, this is an idealized mathematical problem, so it can't depend on particular details of physical reality in that way. There is nothing logically preventing them from being the same age, so it can't be pivotal to solving the problem.
And in fact, I experimentally got the right result without any reference to ages.