Elementary Probability Theory

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The text serves as a comprehensive introduction to probability theory suitable for a one-term course or as part of a year-long statistics curriculum. It balances rigorous mathematical concepts with practical applications, covering topics such as finite probability spaces, combinatorics, independence, random variables, and key theorems. Optional advanced sections delve into limiting processes and game theory. The inclusion of decimal equivalents alongside fractional answers caters to both mathematicians and scientists, enhancing understanding and comparison of probabilities.