Students usually have some intuitive notions about probability, but these intuitions are often incorrect. This book helps students develop their probabilistic thinking by introducing them to the notion of sample space and the use of tree diagrams and geometric regions to represent sample spaces. Many activities present probability in the context of the fairness of games, a topic of great interest to middle-grades students. Other interesting contexts help students understand probability distributions and random variables. Notions of population samples, prediction over the long term, and the law of large numbers are reinforced through games and engaging problems. (book cover)