Načela negotovosti

Solve exercises 3.7, 3.9, and 6.2. Hint for 3.9: W. L. O. G. assume that we always pick door 1. Then start by finding the probability P(car is in door 1 | host opens k), where k is in the set {2, 3}. Most of the calculations that we did in the exercises are going to be helpful (Bayes' theorem, law of total probability).