Expected average number of rounds in a rock paper scissors game by the number of starting players (Rules of the game and extra information is in a comment) [OC]

[u/RobustVessel265]

[u/RobustVessel265]

All data is based off of calculations instead of simulations.

Expected Average means the average an unknown value could possibly take, e.g. if there is a 50% chance of 2 and a 50% chance of 4 then the expected average is 3.

Rules of the game:

1. All players can pick between rock, paper, and scissors in each round.
2. If there are only players who picked scissors and players who picked paper, then all players who picked paper are eliminated and the players who picked scissors player another round.
3. Same goes for rock eliminating scissors and paper eliminating rock.
4. If all 3 options have been picked by at least 1 player or all players picked the same option no one is eliminated in that round.
5. The game finishes when there is only one player who has not been eliminated.

All data is based off of calculations instead of simulations.

This is assuming all players play completed randomly with an even chance of playing rock, paper or scissors throughout the game.

Expected Average means the average an unknown value could possibly take, e.g. if there is a 50% chance of 2 and a 50% chance of 4 then the expected average is 3.

Link to expected average number of players remaining and probability of a rock paper scissors game being finished after a given number of rounds based off of the starting number of players.

[u/tilapios → u/RobustVessel265]

All data is based off of calculations instead of simulations.

"For the purposes of this subreddit a visualization is: Based on real or simulated data."