Question

Which of the following is true about the classical definition of probability? A. The probability that an outcome will occur is simply the relative frequency associated with that outcome. B. It is based on judgment and experience. C. If the process that generates the outcomes is known, probabilities can be deduced from theoretical arguments. D. It is based on observed data.

Answer 1

C

Explanation:

According to the classical definition of probability, in order to calculate the probability of an event, you need to divide the number of cases favourable to it by the number of all possible cases.

A says that probability is based on relative frequency, and this definition is more related to frequentist probability.

B says that probability is based on judgement and experience, which comes more along with the concept of empirical probability.

D says that probability is based on observed data, thus, it gives an statistical approach to probability. In this approach probability can be estimated from what we observe.

I would choose C because if you know perfectly how the outcomes are produced, then you can deduce probabilities. This statement doesnt contradict with the axioms of classical probability.

Answer 2

C. If the process that generates the outcomes is known, probabilities can be deduced from theoretical arguments.

Explanation:

The classical definition of probabilities states that a probability can be deduced from theorical arguments. Specifically, if we know the process that generates the outcomes, we can find the probability from a theorical perspective, a common example can be a certain type of card probability, when we know the process that generates the outcomes.

Therefore, the right answer is C.