Why of probability in QM

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Is there an amateur level book that talks about why QM depends on probability (assuming that is the actual teaching)?
 

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Is there an amateur level book that talks about why QM depends on probability (assuming that is the actual teaching)?

Jaynes, E. T., 1990, `Probability in Quantum Theory,' in Complexity, Entropy, and the Physics of Information, W. H. Zurek (ed.), Addison-Wesley, Redwood City, CA, p. 381
http://bayes.wustl.edu/etj/articles/prob.in.qm.pdf

Not exactly a book, and not exactly amateur level but a good discussion of the topic I think.
 

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