One of the boxes contains a prize and the other three are empty. Once you select a box, the carnie running the game opens one of the other boxes, shows you that it is empty, and gives you the chance to change your mind, i.e. to pick a box other than the one you selected first. Will changing your selection improve your chances of winning or not? Give a complete explanation!
CLUE? No one expects a snakeless mathematical inquisition to come to this hall!
This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.Answer: Switching your selection improves your chance of winning. We give two answers.
Answer 1: Suppose that you have chosen box 1. With probability...