Question

A person claims that the probability of getting a 2 when rolling a six-sided die is 1/6 because the die is equally likely to land on any of the six sides. Is this an example of a theoretical probability or an empirical probability?

Answer 1

It is an theoretical probability.

Explanation:

Empirical probability is total dependent on observance.

As per the given question, if we want to know the empirical probability of getting a 2, then we need to get the actual probability by observing the incident for a large number of times.

Theoretical probability is the ratio of desirable outcome and the total possible outcome.

According to the question, there are total 6 possible outcomes. If we want to get a 2, then desirable outcome is only 1. The probability is
`(1)/(6)`. It satisfies the definition of theoretical probability.