looking for good intro to probability book

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Next year I will be teaching an upper level probability course. The students will mostly be math education majors, and the course must have a statistics component. Besides the stats, I'd like to explore the more fun and theoretical side of probability (things like random walks or conditional probability paradoxes, for example) rather than doing a ton of integration with different distributions. Does anyone have a good suggestion for a book for such a course? Thanks!