Question

Explain how would you find the empirical probability of rolling a 4 on a die?

Answer 1

Empirical probability of an event is an "estimate" that the event will happen based on how often the event occurs after collecting data or running an experiment (in a large number of trials). It is based specifically on direct observations or experiences.

So we have empirical probability formula:

$$P(E) = \frac{\# \text{ of times event } E \text{ occurs}}{\text{total } \# \text{ of observed occurrences}},$$

$P(E) = \text{probability that an event, } E, \text{ will occur}$.

of times event $E$ occurs = number of ways the specific event occurs.

total # of observed occurrences = number of ways the experiment could occur.

So we can find empirical probability using the formula.