MHB What Are the Odds of Winning or Drawing in Paper Rock Scissors?

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In Paper Rock Scissors, the probability of winning in a single round is one-third, with odds of 1:2 against winning. The odds of drawing are the same, also at 1:2. If the game continues after a draw until a winner is determined, the probability of winning increases to one-half, changing the odds to 1:1. In this scenario, the probability of drawing becomes zero, with odds of 0:1. Understanding these probabilities can enhance strategic gameplay.
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Firstly I apologise for the most basic of questions...

I want to know the odds for the game Paper Rock Scissors.

What are the odds of winning

What are the odds of drawing

Thanks in advance :)
 
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dandare30 said:
Firstly I apologise for the most basic of questions...

I want to know the odds for the game Paper Rock Scissors.

What are the odds of winning

What are the odds of drawing

Thanks in advance :)

Hi dandare30, welcome to MHB! ;)

The probability to win in a single round is $\frac 13$.
The odds of winning in a single round are $1:2$. That is 1 possibility to win versus 2 equally likely possibilities to not-win.
It's the same for drawing.

If we keep going after a draw until someone wins, then the probability to win becomes $\frac 12$, and the odds to win becomes $1:1$.
The probability for drawing becomes $0$, and the odds for drawing becomes $0:1$.
 

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