Question

A Monopoly player claims that the probability of getting a 2 when rolling a​ six-sided die is one sixth 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? Explain.

Answer 1

It is Theoretical probability.

Explanation:

Theoretical probability determines the likelihood of some incidents to happen.

Theoretical probability is the ratio between the total number of possible outcomes and the desired outcome.

Here, the desired outcome is getting a 2 that is only one desired outcome, where as total possible outcomes are 6. Here, the probability of getting a 2 is
`(1)/(6)`.

Empirical probability depends on observance. In the given question, nothing related to observance of the given incident has mentioned, hence it is not empirical probability.