What is the probability? Is it independent?

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SUMMARY

The discussion centers on the concept of independent events in probability, specifically regarding the likelihood of gender combinations in a two-child scenario. One participant suggests that the probability of having one girl is 0.5, while others prompt a deeper analysis of the possible combinations: two boys, one boy and one girl, one girl and one boy, and two girls. The conversation emphasizes the need to clarify the definition of independence in this context to accurately assess the probabilities involved.

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  • Understanding of basic probability concepts
  • Familiarity with independent events in probability theory
  • Knowledge of combinatorial analysis
  • Ability to analyze sample spaces
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Students studying probability, educators teaching statistics, and anyone interested in understanding the nuances of independent events in probability theory.

Amlan mihir
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Homework Statement

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The Attempt at a Solution

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I think it is independent event so , the probability would be 0.5 . correct if me i am wrong please.
 

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Hello Amlan, :welcome:

Look at all the possibilities: two boys, one boy one girl, one girl one boy, two girls.
How many of those have one girl ?
How many of those have two girls ?
You refer to independency. What independency, precisely ?

Or am I playing advocate of the devil ? That's PF for you :smile:
 
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