solution

9.      
Prediction: Do you think the probability of winning is diff errant
between the “stay” (keep) and “switch” (change) strategies? If so, what do you
think the probability of winning with the switch strategy is? Whether the
“stay” or “switch” strategy is better is a famous mathematical question known
as the Monty Hall Problem, named for the host of the game show. What makes this
problem famous is that the answer is not intuitive for many people! Fortunately
for us, we can use simulation to easily estimate the probability and help us
decide if one strategy is better than the other in the long run.