How math maps real world problems

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SUMMARY

The discussion centers on the relationship between mathematical probability and real-world scenarios, specifically addressing a graph from the website Gravity and Levity that illustrates entropy in gambling. The user questions the assertion that the probability of obtaining a value between 'green' and 'red' dots is zero, arguing that while mathematically negligible, such probabilities are not practically impossible. The conversation emphasizes the importance of understanding how mathematical models, like probability graphs, can represent real-world phenomena, even when they suggest extreme outcomes.

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  • Basic understanding of probability theory
  • Familiarity with graphical data representation
  • Knowledge of entropy concepts in mathematics
  • Awareness of real-world applications of mathematical models
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  • Explore the concept of entropy in greater detail
  • Study probability distributions and their real-world implications
  • Learn about graphical representations of data in statistics
  • Investigate case studies where mathematical models apply to real-world problems
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This discussion is beneficial for mathematicians, data scientists, educators, and anyone interested in the practical applications of mathematical concepts in real-world scenarios.

jackson6612
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Please remember that I'm not a math or science student - quite a layman in these areas. Therefore, please explain your reply in as much detail as possible. Thank you.


I found the attached (modified) image on this webpage:
http://gravityandlevity.wordpress.com/2009/04/01/entropy-and-gambling/

According to the the graph probability for getting a value between 'green' and 'red' dots is zero. Perhaps, it's true in mathematical terms. But I don't think in 'real' world getting a value between 'green' and 'red' dots is impossible. I'm curious to know how math maps real world problems. Please help me.
 

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The graph is an approximate representation of the numbers. The probabilities between the green and red dots are not zero. However they are so small they can't be displayed on the graph.
 

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