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

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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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