Question

Check whether $\frac{7}{6}$ can be empirical probability or not. Give reason.

Answer 1

Suppose we perform an experiment and let n be the total number of tirals.
The empirical probability of happening of an event E is defined as
$P\left(E\right)=\frac{numberoftrialsinwhichtheeventhappened}{totalnumberoftrials}$
Now from the definition it is clear that $P\left(E\right)\le 1$ since total number of trials is always greater or equal to the number of trials in which the event happened
Hence, $\frac{7}{6}$ cannot be an empirical probability since number of trials in which the event happened cannot exceed the total number of trials
Note: Empirical probability cannot be greater than 1