Question

A Monopoly player claims that the probability of getting a 4 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

Theoretical probability.

Step-by-step explanation:

An empirical probability refers to the probability that is obtained by collecting data by doing an experiment in real life.

A theoretical probability, on the other hand, does not need an experiment. You know how much this probability will be by intuitive skills or reasoning skills.

This player claims that the probability of getting a 4 when rolling a six-sided dice is one sixth because the dice is equally likely to land on any of the six sides. This player is not actually rolling the dice a number of times and observing that he gets a 4 1/6 of the times. He is using his reasoning skills to arrive to this conclusion and therefore he's using theoretical probability.