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 $0:1$.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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