Paul Octopus: 7 Consecutive Winner Predictions?

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around the probability of Paul the octopus accurately predicting the winners of seven consecutive matches during the World Cup. Participants explore the assumptions regarding team quality, potential match outcomes, and the implications of these predictions.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant calculates the probability of Paul predicting winners in seven matches, assuming independent outcomes and equal team quality, estimating it to be approximately 0.2%.
  • Another participant notes that Paul actually predicted eight matches correctly, suggesting a revised probability of around 0.1% for random predictions.
  • Some participants speculate on the methods Paul might have used for predictions, such as the color of flags, particularly focusing on the amount of red in the flags of the winning countries.
  • A participant humorously expresses frustration at their own inability to predict outcomes compared to Paul’s success.

Areas of Agreement / Disagreement

Participants express varying opinions on the methods of prediction and the probabilities involved. There is no consensus on the validity of the assumptions or the reasoning behind Paul's predictions.

Contextual Notes

Participants rely on assumptions about the independence of match outcomes and the equal quality of teams, which may not hold in real-world scenarios. The discussion does not resolve the implications of these assumptions.

Calimero
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What were the chances that Paul the octopus predicts winners in 7 matches in a row? Assuming that teams are of equal quality, and that first 3 matches could have been tie, and that he didn't have 'tie' option to choose.
 
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Assuming that all the outcomes were independent,

[tex]\left( \frac{1}{3} \right)^3 \cdot \left( \frac{1}{2} \right)^4 \approx 0.2 \%[/tex]
 
Thanks CompuChip. Whole thing is very amusing.

Edit: He actually accurately predicted 8 matches in World cup, so it would be around 0.1% chances to pick the winners on random basis.
 
Last edited:
I suspect that he picked the countries based on how much red is in the flag... all the times Germany won, they had more red in their flag with the exception of Ghana, which was equal. Both times Germany lost it was to countries with as much or more red in their flags
 
Maybe Paul can help me finally hit the pick 6. Been trying since '04. A dadburn head-foot can pick seven, and I can't pick a lousy six? It ain't right.
 
Office_Shredder said:
I suspect that he picked the countries based on how much red is in the flag... all the times Germany won, they had more red in their flag with the exception of Ghana, which was equal. Both times Germany lost it was to countries with as much or more red in their flags

I hope this or some similar rational explanation works because otherwise, this is downright freaky!
 

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