Listing Outcomes and Expected Frequency (Edexcel GCSE Maths): Flashcards

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Listing outcomes and expected frequency
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Outcomes in probability

Possible results that could occur

Sample space diagram

Shows all possible outcomes for two combined events

When to use sample space diagrams

When two activities happen together

Expected frequency

Estimate of how often something happens over many trials

Expected frequency formula

Probability ×\times Number of trials

First step in probability problems

Identify all possible outcomes

Each cell in sample space diagram

A separate outcome

Find prob. from sample space diagram

Count favourable outcomes ÷ total outcomes

First step creating sample space diagram

Place outcomes from each event on top and side of grid

Prob. of rolling 5 or 6 on fair die

13\frac{1}{3}

Expected wins: prob. 13\frac{1}{3}, 180 games

60 wins

Why use systematic listing

Prevents missing important outcomes

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