Help needed with dependent event probablity question

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  • Thread starter Thread starter Incitatus89
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SUMMARY

This discussion focuses on calculating the probability of Player A winning against Players B and C in a dependent event scenario within a golf competition. Player A has a 70% win rate against Player B and a 60% win rate against Player C. The challenge lies in determining the overall probability of Player A winning when the events are dependent, as the outcome against one player influences the outcome against the other.

PREREQUISITES
  • Understanding of basic probability concepts
  • Knowledge of dependent events in probability theory
  • Familiarity with conditional probability
  • Basic statistics principles
NEXT STEPS
  • Research "conditional probability formulas" to understand how to calculate dependent events
  • Study "Bayes' theorem" for insights on event dependencies
  • Explore "joint probability distributions" for multi-event scenarios
  • Learn about "probability trees" for visualizing outcomes in dependent events
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Mathematicians, statisticians, sports analysts, and anyone interested in probability theory and its applications in competitive scenarios.

Incitatus89
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Dear Forumites,

First time poster so take it easy on me!

I've stubled upon a question that my pea-sized brain cannot answer. This is not uncommon for a man of my (lack of) intelligence, but it's killing me to not know the answer! Any help massively appreciated.

I have determined a basic method which predicts the chances of Player A beating Player B in golf competition. However when the competition becomes 3-way I don't know how to calculate the chances of Player A beating Players B and C given the events are dependent.

For example:

Player A beats Player B 70% of the time.
Player A beats Player C 60% of the time.

What are the chances of A emerging victorious?

Clearly the events are dependent, if A beats C than it is highly likely that he will have beaten B also. But how likely?

Sorry if this question and example is awfully worded. I could have asked it in a sports forum but this requires a math brain me thinks!

Cheers! :-)
 
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Just realized I've probably fallen foul of the sticky. Apologies.

Mods - Please move if necessary.

Cheers.
 

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