The Basics of Probability (Junior Cert Mathematics): Flashcards

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Relative Frequency and Carrying Out Experiments
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Define relative frequency

Estimate of probability based on actual experiments/trials

Relative frequency formula

Times event happensTotal trials\frac{\text{Times event happens}}{\text{Total trials}}

Meaning of 'total number of trials'

How many times you try the experiment

Meaning of 'times event happens'

How often the thing you're interested in occurs

20 die rolls, 66 appears 3 times. Relative frequency?

320\frac{3}{20} or 0.150.15 (15%)

True probability: rolling a 66 on fair die

16\frac{1}{6} or about 0.1670.167 (16.7%)

20 of 52 weekends rain. Relative frequency?

2052\frac{20}{52} or about 38%

Effect of more trials on probability estimate

More accurate/closer to true probability

When is relative frequency useful?

When exact probability unknown or real-life situations

Relative frequency is based on

Real data from performing experiments

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