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GCSE Probability

Probability Trees

Learn probability trees as part of understand chance, calculate probabilities and use probability trees for multi-stage events.

Key idea

Define the possible outcomes clearly, then compare favourable outcomes with the total outcomes.

What you will learn

Use probability trees meaning confidently.
Use probability trees representations confidently.
Use probability trees methods confidently.
Use probability trees applications confidently.

Success checklist

I can explain what probability trees means.
I can choose a suitable method without being told.
I can show clear working and check my answer.

Worked example

A fair dice is rolled. Find P(rolling a 6).

Model method

Step 1

There are 6 equally likely outcomes.

Step 2

Only one outcome is a 6.

Step 3

P(6) = 16.

Answer

16

Quick practice

Question 1

Find P(heads) for a fair coin.

Question 2

A bag has 3 red and 5 blue counters. Find P(red).

Question 3

List the outcomes for tossing two coins.

Related resources

These are linked to the wider Probability topic for now.

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