re-write the following in a formal sentence "The problem demonstrates the a use of conditional probability and concept of Bayesian probability. Conditional probability is the probability of a event occurring given that another event has already occurred. Yes, was initially surprised by the answer to a question stay or switch. It might seem counterintuitive that a switching doors gives a higher chance of the winning (2/3 probability) compared to a sticking with a initial choice (1/ 3 probability)