Probability and Counting - Single Event - Practice

This math unit progresses through a comprehensive introduction and practice of probability concepts, beginning with simple probability based on spinner scenarios and transitioning to probability involving playing cards and ordering scenarios. Initially, students practice calculating probabilities with spinners and cards, expressing these probabilities first as decimals and then moving to percentage form. This progression ensures understanding of both the calculation and representation of probabilities in different forms. As the unit develops, students engage in more complex problems involving combinations and permutations, where they calculate the probability of various ordered events without repetitions using cards or letters. These are expressed through equations or answering queries directly, enhancing their grasp of factorial calculations and permutation formulas. Towards the end, the unit shifts focus to include probability with shapes in different colors, calculated from simple selection scenarios. Students continue to express probabilities in various forms - fractions, decimals, and percentages - adapting their skills to more everyday contexts, such as drawing specific colored shapes from a set. The unit culminates with the integration of multiple variables in probability scenarios, reinforcing the foundational understanding and practical application of probability in varied situations.