Estimating Probabilities from Experiments (Leaving Cert Mathematics): Flashcards

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Estimating Probabilities from Experiments
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What is experimental probability?

Probability estimated from experiments/surveys, not theory

Define relative frequency

No. of times event occurs ÷ total no. of trials

Relative frequency formula

Successful trialsTotal trials\frac{\text{Successful trials}}{\text{Total trials}}

What does relative frequency estimate?

Probability that an event will occur

Law of large numbers principle

More trials → relative frequency closer to true probability

Expected frequency formula

Probability × number of trials

Sum of all probabilities in a distribution

Equals 1

What makes experimental results more reliable?

Larger sample size/more trials

As trials increase, experimental probability...

Approaches theoretical probability

When is experimental probability used?

When outcomes aren't equally likely in real-life situations

If P=0.3P = 0.3, expected frequency in 300 trials?

0.3×300=900.3 \times 300 = 90

How to find missing probability in distribution?

Use fact that all probabilities sum to 1

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