This May Be The Most Counterintuitive Probability Paradox I've Ever Seen - Can you spot the error?

The video explores a probability problem involving two children, one of whom is a girl. It explains the counterintuitive nature of probability when additional information, such as a child's name or birth day, is provided. The video demonstrates how these details can change the probability of having two daughters from 33.3% to 50% or 13/27, depending on the context. The presenter discusses the mathematical reasoning behind these changes and invites viewers to share their thoughts.

What new insight or understanding did you gain from this video?