Estimating Probabilities from Experiments (Leaving Cert Mathematics): Flashcards
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What is experimental probability?
What is experimental probability?
Probability estimated from experiments/surveys, not theory
Define relative frequency
Define relative frequency
No. of times event occurs ÷ total no. of trials
Relative frequency formula
Relative frequency formula
What does relative frequency estimate?
What does relative frequency estimate?
Probability that an event will occur
Law of large numbers principle
Law of large numbers principle
More trials → relative frequency closer to true probability
Expected frequency formula
Expected frequency formula
Probability × number of trials
Sum of all probabilities in a distribution
Sum of all probabilities in a distribution
Equals 1
What makes experimental results more reliable?
What makes experimental results more reliable?
Larger sample size/more trials
As trials increase, experimental probability...
As trials increase, experimental probability...
Approaches theoretical probability
When is experimental probability used?
When is experimental probability used?
When outcomes aren't equally likely in real-life situations
If , expected frequency in 300 trials?
If , expected frequency in 300 trials?
How to find missing probability in distribution?
How to find missing probability in distribution?
Use fact that all probabilities sum to 1
