Empirical probability is a method of assigning probability based on past observed data and frequencies of events. It estimates the likelihood of an event occurring again based on how often it happened in historical experiments or observations. Specifically, the empirical probability of an event E is calculated as the frequency of E occurring divided by the total number of observations, where frequency is the number of times the event occurred and total observations is the overall number of trials or observations.

1. Empirical
Probability
MTH 210
Prof. Reza

2. Empirical Probability Assignment
The Empirical or Relative Frequency Method
of assigning probability uses past data that
have been empirically observed. It notes the
frequency with which some event has
occurred in the past and estimates the
probability of its reoccurrence on the basis of
historic data.

3. Empirical Probability Assignment
P (X) = ƒ (X) / n
Where,
ƒ (X) = Number of times event X has
occurred in the past
n = Total number of observations

4. Empirical Probability
Empirical probability is based on observations obtained from
probability experiments. The empirical frequency of an event E is the
relative frequency of event E.
Frequency of Event E
P (E )
Total frequency
f
n

5. Questions
We will attempt to answer.