know that the host will open one of the safes regardless of which safe they choose initially. The host must also know what is within each safe. Without these two details, the host might only be opening one of the other safes because he knows that you picked the safe that does have the grand prize. This puzzle has an obvious real world application. The puzzle reveals a simple problem that goes against our intuition. Not only that, but Monty Hall hosted an actual game show, Make a Deal.” With the possibility of this puzzle, or a version of this “Let’s puzzle, being part of the show, it would be extremely advantageous for contestants to understand it before competing. Another example of a difficult probability puzzle is the or puzzle by Best “Life Brain Teasers. This puzzle is similar to Gardner’s and Two Hats” puzzle. “Bills You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you fifty black marbles, fifty white marbles, and two empty bowls. He the says, these one-hundred marbles “Divide into the two bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if it is BLACK…you will die.” How do you divide the marbles up so that you have the greatest probability of choosing a white marble?
know that the host will open one of the safes regardless of which safe they choose initially. The host must also know what is within each safe. Without these two details, the host might only be opening one of the other safes because he knows that you picked the safe that does have the grand prize. This puzzle has an obvious real world application. The puzzle reveals a simple problem that goes against our intuition. Not only that, but Monty Hall hosted an actual game show, “Let’s Make a Deal.” With the possibility of this puzzle, or a version of this puzzle, being part of the show, it would be extremely advantageous for contestants to understand it before competing. Another example of a difficult probability puzzle is the “Life or puzzle by Best Brain Teasers. This puzzle is similar to Gardner’s “Bills and Two Hats” puzzle. You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you fifty black marbles, fifty white marbles, and two empty bowls. He the says, “Divide these one-hundred marbles into the two bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if it is BLACK…you will die.” How do you divide the marbles up so that you have the greatest probability of choosing a white marble?