Below there are 41 Probability Topics
Probability & Statistics are probably the best answered areas in GCSE Maths
These areas are very important for picking up extra marks to get the higher grades!
Step 01
Probability
Key Stage 2 - GCSE Basics
- Topic does not start until Step 03
Step 02
Probability
Key Stage 2 - GCSE Basics
- Topic does not start until Step 03
Step 03
Probability
Key Stage 2 - GCSE Basics
- Use a probability scale with words
- Mark events and/or probabilities on a probability scale of 0 to 1
- These are the only topics at Step 03
Step 04
Probability
Key Stage 3 - Pre GCSE
- Apply the property that the probabilities of an exhaustive set of outcomes sum to 1
- Identify all possible mutually exclusive outcomes of a single event
- Apply probabilities from experimental data to a different experiment in simple situations (only looking at one outcome) - how many successes would you expect?
- Understand and use experimental and theoretical measures of probability, including relative frequency to include outcomes using dice, spinners, coins etc.
- Use the vocabulary of probability
- Understand and use the probability scale from 0 to 1
- Find and justify probabilities based on equally likely outcomes in simple contexts
Step 05
Probability
Key Stage 3 - Pre GCSE
- Know that if the probability of an event is p, the probability of it not occurring is 1-p
- Identify different mutually exclusive outcomes and know that the sum of probabilities of all outcomes is 1
- Estimate the number of times an event will occur, given the probability and the number of trials
- Compare experimental and theoretical probabilites
- Compare relative frequencies from samples of different sizes
- Identify all mutually exclusive outcomes for two successive events with two outcomes in each event
- Identify all mutually exclusive outcomes for two successive events with three outcomes in each event
- Record outcomes of events in tables and grids
- Apply probabilities from experimental data to a different experiment (a combination of two outcomes) - how many successes would you expect?
- When interpreting results of an experiment use vocabulary of probability
- Find the probability of an event happening using relative frequency
- Write probabilities in words, fractions, decimals and percentages
- Work out probabilities from frequency tables
- Work out probabilities from two-way tables
Step 06
Probability
Key Stage 3 - Pre GCSE
- Draw a probability tree diagram based on given information (no more than 3 branches per event)
- Apply probabilities from experimental data to a different experiment in applying to two step outcomes, e.g. spin a spinner twice and total the two numbers. Which total is the most likely?
- Identify conditions for a fair game - from a small set of options
- Calculate the probability of the final event of a set of mutually exclusive events.
- Use and draw sample space diagrams
- Draw a frequency tree based on given information and use this to find probability and expected outcome
- Record outcomes of probability experiments in tables
- Use tree diagrams to calculate the probability of two independent events
Step 07
Probability
KS4 - Foundation GCSE
- Record outcomes of events in a Venn Diagram
- Use theoretical models to include outcomes using spinners, dice, coins etc.
Step 08
Probability
KS4 - Foundation GCSE
- Find a missing probability from a list or two-way table including algebraic terms
- Use tree diagrams to calculate the probability of two dependent events
Step 09
Probability
KS4 - Foundation GCSE
- Topic does not reach Step 09 on Foundation Level but does continue at Higher Level Step 10
Step 10
Probability
Key Stage 4 - Higher GCSE
- Use a two-way table to calculate conditional probability
- Use a tree diagram to calculate conditional probability
- Use Venn diagrams to calculate conditional probability
- Understand conditional probabilities and decide if two events are independent
- Understand selection with or without replacement
- Use a tree diagram to calculate conditional probability
Step 11
Probability
Key Stage 4 - Higher GCSE
- Topic does not reach Step 11
Step 12
Probability
Key Stage 4 - Higher GCSE
- Topic does not reach Step 12
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