Understanding Probability

Grasp the concept of probability, which is the likelihood of an event happening.
Explore different types of probability including experimental, theoretical and subjective probabilities.
Understand that probabilities can be represented as fractions, decimals or percentages.
Remember that the sum of all possibilities in an event space is always equal to 1.
Familiarise yourself with conditional probability, which is the probability of an event given that another event has occurred.

Probability Laws

Appreciate the role of addition law and multiplication law in probability and know when to apply each.
Realise the difference between independent and dependent events and how this affects the calculation of probabilities.
Decode mutually exclusive and non-mutually exclusive events.

Get comfortable with probability mass functions for discrete random variables and probability density functions for continuous random variables.
Recognise the expected value (mean), variance, and standard deviation of a probability distribution.
Study binomial and normal distributions, two of the most common probability distributions you’ll encounter.

Recognize the components of events and outcomes and how these make up sample spaces.
Use tree diagrams, Venn Diagrams, and tables to represent and calculate probabilities in complex scenarios.

Solidify your understanding through worked examples. Start from simpler problems and gradually increase difficulty.
Practice using formulas and laws of probability accurately.
Focus on understanding and interpreting real-life situations involving probability.
Don’t shy away from challenging probability problems; perseverance can lead to deeper understanding of concepts.
Always review your solutions to learn from any mistakes and improve your problem-solving skills in probability.