The relative frequency is an estimate of the probability of an event.
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There is no relationship between sequences and probability.
If an action is repeated n times and a certain event occurred b times then the ratio b/n is called the relative frequency.Where as theoretical probability is used to determine the number of ways that the event can occur if an experiment is repeated a large number of times.
What is the symbol for a Probability of success in a binomial trial?
There is no direct relationship between degrees of freedom and probability values.
They are the same. The full name is the Probability Distribution Function (pdf).