Probability of Getting 10 Pairs from a Box of 30 Socks

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SUMMARY

The discussion centers on calculating the most probable number of tries needed to obtain 10 pairs of socks from a box containing 30 pairs (60 socks total). Participants suggest using probability theory, specifically the Gaussian distribution, to model the problem. A simulation in PHP indicates that the most probable number of socks drawn to achieve 10 pairs is around 40. The conversation emphasizes the importance of understanding sample space and probability distributions to derive accurate results.

PREREQUISITES
  • Understanding of probability theory and distributions
  • Familiarity with Gaussian distribution concepts
  • Basic programming skills, particularly in PHP for simulations
  • Knowledge of combinatorial mathematics, specifically combinations
NEXT STEPS
  • Study the Gaussian distribution and its applications in probability
  • Learn about combinatorial mathematics, focusing on combinations and permutations
  • Implement a simulation in PHP to model sock drawing scenarios
  • Explore the concept of probability distributions to identify modes
USEFUL FOR

Students studying probability, mathematicians interested in combinatorial problems, and programmers looking to apply simulations in statistical analysis.

  • #61
It was a learning experience for me as well. What class was this that you got this problem from?
 
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  • #62
rcgldr said:
It was a learning experience for me as well. What class was this that you got this problem from?
Thanks to you too! Physics, my physic's teacher is a very good teacher.
 

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