The probability that is based on repeated trials of an experiment can be estimated using the relative frequency approach. This approach involves conducting a large number of trials of the experiment and recording the outcomes. The probability is then estimated as the ratio of the number of times the desired outcome occurs to the total number of trials.
For example, let's say you want to find the probability of rolling a 6 on a fair six-sided die. You can conduct 100 rolls of the die and record the number of times a 6 appears. If the 6 appears 20 times out of the 100 rolls, the estimated probability would be 20/100 = 0.2 or 20%.
The more trials you conduct, the closer the estimated probability will be to the actual probability. This is known as the law of large numbers, which states that the relative frequency of an event will converge to its true probability as the number of trials increases.
In summary, the probability based on repeated trials of an experiment is estimated using the relative frequency approach, where the estimated probability is the ratio of the number of times the desired outcome occurs to the total number of trials.
Probability that is based on repeated trials of an experiment
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