Part 3/8:
Intuitively, many people might think that the odds are now equal between the two remaining curtains; however, the reality is that switching increases your chances of winning to 66.6%. This counterintuitive outcome underscores the profound complexity of probability and human decision-making—highlighting how our cognitive biases can mislead us.
The Nash Equilibrium: The Dance of Decision-Making
As we journey further, we encounter the concept of the Nash equilibrium, a fundamental idea within game theory, which remains surprisingly underrepresented in popular culture. The Nash equilibrium describes a scenario where, given the strategies of other participants, no one has anything to gain by changing their strategy unilaterally.