Rock Paper Scissors, commonly abbreviated as RPS, is a popular hand game that has been played for centuries. The game is simple: players simultaneously make one of three hand signs representing either rock, paper or scissors, with the winner determined by comparing the signs made. While the game may seem trivial, its rules and statistics have intrigued mathematicians and statisticians for many years. Here are ten mind-blowing facts about RPS statistics that will amaze you.

1. RPS is a non-transitive game: In RPS, there is no clear dominance hierarchy among the three strategies. This means that each strategy is able to beat one other strategy while losing to the other one. For example, rock beats scissors, scissors beats paper, and paper beats rock.

2. The game can’t be perfectly predicted: Because RPS is a non-transitive game, it is impossible to predict the outcome of any given match with certainty. Instead, the outcome of each match is determined by chance and randomness.

3. The game has a Nash equilibrium: Despite the game’s unpredictable nature, there is a Nash equilibrium, which is a set of strategies that are optimal for each player given the strategies of their opponents. In RPS, the Nash equilibrium is to choose each option with equal probability.

4. The game is often used to settle disputes: Because RPS is a fair and impartial game with no built-in advantages, it is commonly used to settle disputes in a wide range of settings, including schools, workplaces, and sports events.

5. Strategy can influence outcomes: While the game is ultimately determined by chance, players can use strategies based on their opponent’s behavior to influence the outcome. For example, if an opponent has a tendency to choose rock, it may be advantageous to choose paper.

6. The game has its own world championships: Each year, the World RPS Championships are held in Toronto, Canada, where players from around the world compete for the title of champion.

7. There are many variations of the game: While the classic version of RPS involves only rock, paper, and scissors, there are many variations of the game that add elements such as lizard and Spock.

8. Hand sign frequencies are not evenly distributed: Unlike what many players might think, hand sign frequencies are not evenly distributed. For instance, rock is the most common move, followed by paper and then scissors.

9. The game has been studied extensively by mathematicians: RPS has been the subject of numerous studies by mathematicians, who have analyzed different strategies and the impact of variations in the game.

10. The game has been used in research: The simplicity of RPS has led researchers to use it as a tool for investigating human behavior in decision-making situations, including social interactions, game theory, and psychology.

In conclusion, RPS may seem like a simple game, but its statistics and rules have captured the interest of mathematicians, statisticians, and researchers alike, making it a fascinating subject for study and exploration. Whether played for fun, to settle disputes, or for research purposes, RPS will continue to fascinate people around the world for years to come.

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