Introductory book on probability for physicists

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I'm a physics student looking to start learning more about probability. Is there some introductory book on measure theoretical probability theory that includes sections on quantum probability? To give you an idea of my mathematical experience I have never taken a course in probability theory but I've had two courses on real analysis, the second of which included an introduction to measure theory/ Lebesgue integration.

If you don't know of an introductory book that covers quantum probability, what is the "easiest" book that covers it that you know of? Maybe I can just read through a standard book on probability first.

Thanks in advance.

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I don't know of any introductory book on probability for Physics but if you are new to probability, then before learning probability's applications in physics, you might want to learn the basics of mathematical probability.

For that, I would suggest, An introduction to probability theory and its applications by William Feller. There are 2 volumes of this book but you can start with volume 1.