Probability and Counting - Multiple Events - Advanced

This math unit delves into the principles of probability, starting with basic probability counting using coins and advancing through various settings including spinners, dice, cards, and shapes. The unit begins with simpler tasks such as calculating probabilities of homogeneous outcomes (all same or specific) and progresses towards more complex scenarios involving multiple independent events with spinners. Students learn to express probabilities in different mathematical forms: fractions, equations, decimals, and percentages. This progression enhances their ability to analyze and compute probabilities in multiple-choice formats and through direct calculation. Later in the unit, the focus shifts to combining probability theory with applications in real-world contexts like card games or hypothetical scenarios involving shapes of different colors. The unit culminates with sophisticated exercises in probability counting using dice, where students need to handle diverse outcomes and express their answers through fraction equations, embracing both simple and complex probabilistic calculations. This sequence builds comprehensive skills in understanding, computing, and applying probability across various contexts and representations.Skills you will learn include:

• Probability of multiple events
• Inversion of probability problems
• Chance of not rolling a certain roll