The line between quantum and large scale objects

[bassplayer142]

Where is the line between these two subjects. I understand that I may be asking an unanswerable and highly studied question. I understand that in the quantum world everything is based on probability. But when looking at things at our perspective we never see this probability. Everything is based on cause and effect. Why doesn't some of our equations take into effect these small probabilities no matter how minute they may be? Is this really what it means to connect quantum theory and relativity as the theory of everything? I supposed I just don't understand what the barrier between the two theories are.

 

[Ygggdrasil]

If you flip 10 coins, you would not be surprised to see 60% of them turn up heads by chance. If you flip 6.02x10²³ coins, you would be very surprised to see 60% of them turn up as heads by chance.

In other words, by the law of large numbers, probabalistic events can be predicted through statistics with high confidence. A lot of these concepts would be covered in a statistical mechanics course of textbook.