GCSEMaths

GCSE Maths Probability Revision Notes

Master GCSE Maths Probability using simple revision notes, key facts and practice questions — all generated by AI for your exam.

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 means the event cannot happen and 1 means it will definitely happen.

Key Concepts

  • 1Probability is calculated as the number of successful outcomes divided by the total number of possible outcomes.
  • 2The probability of an event is expressed as a fraction, decimal, or percentage.
  • 3The sum of probabilities of all possible outcomes in a sample space equals 1.
  • 4Independent events do not affect each other's probabilities.
  • 5The complementary probability of an event is 1 minus the probability of the event occurring.

Simple Explanation

Probability tells us how likely something is to happen. If you have a bag with 3 red balls and 2 blue balls, the probability of picking a red ball is 3 out of 5, or 0.6. This means if you pick a ball at random, there's a 60% chance it will be red. We can write probabilities as fractions, decimals, or percentages.

Memory Trick

Remember 'Probability is P/Total', where P is the number of successful outcomes and Total is the total number of outcomes.

Flashcards

Question1 / 5

What is the probability of rolling a 3 on a standard die?

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Exam Questions

Describe and explain how to calculate the probability of an event occurring. [6 marks]

6 marks
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Define probability, explain the formula, give examples, and state the range of probability values.

Explain how independent events affect the probability of combined events. [4 marks]

4 marks
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Define independent events, explain how to calculate combined probabilities, and give an example.

What is meant by the term 'complementary probability'? [2 marks]

2 marks
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Define complementary probability and give the formula for calculating it.

Practice Quiz

Question 1 of 5Score: 0

What is the probability of drawing an Ace from a standard deck of 52 cards?

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