Probability

This course introduces learners to the fundamental concepts of probability, a branch of mathematics that deals with the likelihood of events occurring. Students will explore different events, probability rules, and how to calculate probabilities in various real-life contexts. Through problem-solving, they will develop an understanding of concepts which are essential for decision-making.

Learning Outcomes:
The learner should be able to:

• understand the terms random, experiment, outcome, sample space, event and probability.
• construct the probability space.
• determine probabilities from experiments and real-life data.
• differentiate between theoretical and experimental probabilities.
• identify and understand mutually exclusive and independent events.
• use probability trees to determine the probabilities of mutually exclusive and independent events.
• use Venn diagrams to determine probabilities.
• Define probability and explain its significance in everyday life.
• Differentiate between experimental and theoretical probability.
• Calculate the probability of single and combined events using addition and multiplication rules.
• Understand and apply concepts of mutually exclusive and independent events.
• Solve problems involving conditional probability and use tree diagrams for visualization.
• Interpret and analyse simple probability experiments and their outcomes.