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Rock Paper Scissors Online - Advanced RPSLS Game

Play Rock Paper Scissors (and Lizard Spock) online. Features predictive AI, statistical tracking, multiplayer challenges, and simulation modes.

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Category Logic Games
PLAYER 0
VS
OPPONENT 0
$ 100
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Win Probability

Win Draw Loss

Match History

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About

This tool is a sophisticated digital implementation of the intransitive hand game, expanding beyond simple chance into the realms of Game Theory and Statistical Analysis. While the standard variant operates on a triangular dominance cycle, this application includes the RPSLS (Rock-Paper-Scissors-Lizard-Spock) extension, popularized to reduce the probability of ties from 13 to 15.

Unlike basic random number generators, the Pro AI mode utilizes a Markov Chain algorithm. It analyzes your transition probability matrix T, where Tij represents the probability of playing move j after move i. By identifying your subconscious patterns (e.g., the tendency to stick with a winning move or shift after a loss), the AI attempts to maximize its expected value E.

For rigorous testing, the Simulation Mode executes high-frequency automated rounds between two RNG agents, allowing you to verify the Law of Large Numbers as the outcome distribution converges to 1/N.

game probability rock paper scissors rpsls statistics

Formulas

Win Logic (Modular Arithmetic):

For n moves indexed {0, 1, ... n-1}, the result of Player x vs Opponent y is:

{
Win if (x − y) mod n ∈ ODDLose if (x − y) mod n ∈ EVEN ∧ ≠ 0Draw if x = y

Markov Prediction Model:

The AI calculates the conditional probability of the player's next move mt+1 given current move mt:

P(mt+1 | mt) = count(mt → mt+1)∑k count(mt → k)

Reference Data

MoveBeats (Classic)Beats (RPSLS Extended)SymbolElement Representation
RockScissorsScissors, Lizard✊Solid (Earth)
PaperRockRock, Spock✋Gas (Wind)
ScissorsPaperPaper, Lizard✌Metal (Blade)
LizardN/ASpock, Paper🦎Org (Toxin)
SpockN/AScissors, Rock🖖Rad (Energy)
Win Probability33.33%40.00%P(w)Theoretical Max

Frequently Asked Questions

In "Random" mode, yes. We use the browser's crypto.getRandomValues() API, which provides cryptographically strong randomness suitable for security, ensuring no bias. In "Pro AI" mode, the computer is deterministic: it uses your play history to predict and counter your next move.
The Simulation Mode bypasses the visual animations to run thousands of game logic cycles instantly. It pits two RNG algorithms against each other. Over a short set (10 games), one side may dominate, but over 1000+ games, the win distribution typically converges to 33.3% for each outcome (Win/Loss/Draw), demonstrating the Law of Large Numbers.
From the "Big Bang Theory" variation: Scissors cuts Paper, Paper covers Rock, Rock crushes Lizard, Lizard poisons Spock, Spock smashes Scissors, Scissors decapitates Lizard, Lizard eats Paper, Paper disproves Spock, Spock vaporizes Rock, and Rock crushes Scissors.
Select your move in the "Challenge Friend" section. The tool generates a unique URL containing your move encoded in Base64. Send this link to a friend. When they open it, they make a selection, and only then is your hidden move revealed to determine the winner.