Probability reference book for data science professionals

Hi all, I'd like to rehash my understanding of the fundamentals of probability theory. I'm trying to find a probability book that meets the following criteria:
- Motivates different concepts and does not just show definition-proof-definition-proof
- Is complete in that it covers all the fundamentals of probability
- Is not overtly pro/anti bayesian
- Suitable for a data science professional with a mathematics undergrad but hasn't studied in several years
- Is suitable for self-study (problem solutions must be …

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