14. A game show contestant must randomly select a door. One door doubles her money while the other three doors leave her with no winnings. What is the probability she selects the door that doubles her money?

In this scenario, the contestant has four doors to choose from, where one door has the prize that doubles her money. Since the selection is random and there are no other factors influencing her choice, the probability can be calculated simply as the number of favorable outcomes over the total number of outcomes. Thus, the probability she selects the winning door is \( \frac{1}{4} \) or 25%. Feeling eager to increase her odds? She might consider strategies like asking the host for hints or playing around with game theory if the rules allow for it! After all, the more information you have, the better your chances of beating the odds!