Harry's History Tournament
Riddle: Harry is in a history competition with two other students–Renèe and Tyler. The rules are as follows: A student will choose another student to target. A history question will be read out, and the student will give his or her answer. If the answer is correct, the target is eliminated. And if the answer is incorrect, the target stays in the game. This will happen until only one student remains. Harry isn't very good in history; his odds of answering correctly are 1/3. Renèe's odds are a little better–2/3. And Tyler is a history ace, with his odds of giving the correct answer being 3/3. Every student knows everyone else's odds. To be fair, Harry will begin; then, the turn will pass to Renèe, then to Tyler, and then to Harry, and so on until one player remains. How can Harry have higher chances to win?
Answer: On Harry's first turn, he should give the incorrect answer on purpose. If he targets Renèe and manages to eliminate her, then it's just Harry and Tyler; however, Tyler will definitely eliminate Harry because HIS odds are much higher. And if Harry targets Tyler and manages to eliminate him, then it's just Harry and Renèe; however, Renèe might eliminate Harry because she has higher odds. If Harry purposefully answers incorrectly, the turn will simply move to Renèe, who will answer next. On Renèe's first turn, she will likely target Tyler because he has higher odds than her. If she manages to eliminate him, then it's just Harry and Renèe. Harry will be going first with his shot at winning the competition. If Renèe doesn't eliminate Tyler, then it will be HIS turn; Tyler will target Renèe and eliminate her for sure due to his odds being higher than hers. Although Harry will have to go against Tyler in the end, it's still a fair situation because Harry will still be going first with a chance to win.
Source: https://www.riddles.com/index.php/11353
