Relative Frequency and Carrying out Experiments (Leaving Cert Mathematics): Flashcards

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Relative Frequency and Carrying out Experiments
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Relative frequency

Proportion of times event occurs relative to total trials

Formula for relative frequency

No. of times event occursTotal trials\frac{\text{No. of times event occurs}}{\text{Total trials}}

Relative frequency estimates

Probability of an event

Relative frequency as trials increase

Stabilises and approaches true probability

First step in carrying out experiments

Define the event of interest

Steps to calculate relative frequency

Record outcomes, count occurrences, apply formula

Relative frequency: 15 occurrences in 60 trials

1560=0.25\frac{15}{60} = 0.25 or 25%

Repeating experiments

Increases accuracy of probability estimates

Limitation of single experiment

May be influenced by random variation

Law of Large Numbers

Relative frequency converges to theoretical probability

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