1. Basics of probability

This detailed lesson explores Basics of probability through thorough explanations, carefully worked examples, structured practice activities, and meaningful practical contexts. In this video, we explore the fundamentals of probability, helping you understand how likely events are to occur. You’ll learn: What probability is and why it’s important in mathematics and real life. How to calculate probability using the formula: P(Event) = Number of favorable outcomes ÷ Total number of outcomes. The difference between certain, likely, unlikely, and impossible events. Examples using coins, dice, cards, and everyday situations. How to express probability as a fraction, decimal, or percentage.. The lesson starts by examining the essential ideas, terminology, and principles related to Basics of probability, allowing learners to establish a solid understanding before progressing to more advanced material. Students will investigate the significance of the topic, examine its practical uses in different situations, and identify frequent errors together with strategies for avoiding them. A variety of carefully selected examples are analysed in a logical sequence, enabling learners to understand the underlying reasoning and gradually build confidence in using the skill on their own. Relevant links to prior learning are highlighted throughout, while connections to later concepts help learners see how the knowledge can be extended and applied in future studies. Upon completing the lesson, learners should be able to describe Basics of probability clearly, apply appropriate techniques with accuracy, tackle related tasks successfully, and appreciate how the topic contributes to stronger reasoning, problem-solving, and analytical skills.

This detailed lesson explores simple and compound events through thorough explanations, carefully worked examples, structured practice activities, and meaningful practical contexts. In this video, we learn about simple and compound events in probability. You’ll learn: What a simple event is – an event with a single outcome. What a compound event is – an event with two or more outcomes. How to calculate the probability of simple and compound events. The difference between independent and dependent events.. The lesson starts by examining the essential ideas, terminology, and principles related to simple and compound events, allowing learners to establish a solid understanding before progressing to more advanced material. Students will investigate the significance of the topic, examine its practical uses in different situations, and identify frequent errors together with strategies for avoiding them. A variety of carefully selected examples are analysed in a logical sequence, enabling learners to understand the underlying reasoning and gradually build confidence in using the skill on their own. Relevant links to prior learning are highlighted throughout, while connections to later concepts help learners see how the knowledge can be extended and applied in future studies. Upon completing the lesson, learners should be able to describe simple and compound events clearly, apply appropriate techniques with accuracy, tackle related tasks successfully, and appreciate how the topic contributes to stronger reasoning, problem-solving, and analytical skills.

This detailed lesson explores tree diagrams through thorough explanations, carefully worked examples, structured practice activities, and meaningful practical contexts. In this video, we explore tree diagrams, a visual tool for organizing and calculating probabilities of multiple-step events. You’ll learn: What a tree diagram is and why it’s useful in probability. How to draw tree diagrams for simple and compound events. How to calculate probabilities by multiplying along branches. How to use tree diagrams for independent and dependent events.. The lesson starts by examining the essential ideas, terminology, and principles related to tree diagrams, allowing learners to establish a solid understanding before progressing to more advanced material. Students will investigate the significance of the topic, examine its practical uses in different situations, and identify frequent errors together with strategies for avoiding them. A variety of carefully selected examples are analysed in a logical sequence, enabling learners to understand the underlying reasoning and gradually build confidence in using the skill on their own. Relevant links to prior learning are highlighted throughout, while connections to later concepts help learners see how the knowledge can be extended and applied in future studies. Upon completing the lesson, learners should be able to describe tree diagrams clearly, apply appropriate techniques with accuracy, tackle related tasks successfully, and appreciate how the topic contributes to stronger reasoning, problem-solving, and analytical skills.