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The answer depends on the probability of whatever it is that you are trying to observe and its variability.
If the probability of a particular outcome is very high then you will need a lot of trials before you get one where the outcome does not occur. Conversely, a rare event will also require many trials.
If there is a lot of random variation in the outcome of the trials, you will need more trials before you can be confident of the accuracy of any estimates.
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How do you test theoretical probability?
The theoretical probability provides a model for predicting the outcome of trials. You then carry out a number of trials. Compare the outcome of your trials with the results predicted by the theoretical model. The comparison will usually involve "hypothesis testing", a branch of statistics. This is a method to test how likely the actual outcomes are if the theoretical probabilities were true. The exact nature of the test will depend on the theoretical basis and so the answer cannot be simplified.
In an experiment are 30 trials as good as 500 trials to predict the chance of a result?
No. The more trials the better. You can only estimate the probability of an outcome based on the data from experimentation. But if you find that the percentage in 90 trials is practically identical to the percentage in 30 trials, that is an indication that the percentage will hold true for even larger numbers of trials.
What is number of trials?
Number of trials is how many times you test your hypothesis. When you are doing trials the end result may come out differently every time.
How do you get relative frequency?
The relative frequency of an event, from repeated trials, is the number of times the event occurs as a proportion of the total number of trials - provided that the trials are independent.
What is called probability that is based on repeated trials of an experiment?
The probability that is based on repeated trials of an experiment is called empirical or experimental probability. It is calculated by dividing the number of favorable outcomes by the total number of trials conducted. As more trials are performed, the empirical probability tends to converge to the theoretical probability.
