Final answer:
The correct example of theoretical probability is option C, where the likelihood of drawing an ace from a deck of 52 playing cards is calculated as 4 out of 52. This is based on the known number of aces in a deck and represents the theoretical chance of this event, which is independent of experimental results.
Step-by-step explanation:
The question relates to the concept of theoretical probability, which is a measure of what we expect to happen in the long term, based on the design of the experiment or the nature of the event, without considering actual empirical results. An example of theoretical probability is given by the odds of a specific outcome determined by the inherent structure of the event, such as the likelihood of getting heads when flipping a fair coin, or drawing a specific card from a full deck.
Looking at the choices provided, the correct option is:
C. There are 52 playing cards in a deck, and 4 of them are aces. The probability of turning over an ace is 4 out of 52, which should actually be simplified to 1/13.
Option C is a classic example of theoretical probability, where all outcomes are presumed to be equally likely, and the real-world trials are irrelevant. It is a calculation based on the known structure of a deck of cards, as opposed to results from experimental outcomes. The law of large numbers describes how the experimental or empirical probability approaches the theoretical probability when the number of trials increases.