[AntonioLao]

http://en.wikipedia.org/wiki/Probability and http://en.wikipedia.org/wiki/Statistics: The former is a mathematical theory the latter is a mathematical science. Both can be used to deal with the quantative and qualitative behavior of physical objects in an isolated system http://en.wikipedia.org/wiki/Isolated_system or at the least a closed system http://en.wikipedia.org/wiki/Closed_system. Both are not applicable in open systems http://en.wikipedia.org/wiki/Open_system far from equilibrium. However, both are applicable for equilibrium or near equilibrium open systems.

[Guille]

Antonio,

What are the grey areas between probability and statistics? I mean, what is the connection and where do they unite?

[AntonioLao]

Originally Posted by GUILLE What are the grey areas between probability and statistics? I mean, what is the connection and where do they unite?

Probability exists mainly in the mind but statistical data are real. Probability when used in a statistical inference predict all possible outcomes, for example, the number of automobile accidents but the actual number can depend on other factors.