Question

Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You can repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability?

Answer 1

They should not be exactly the same but they should be close.

Explanation:

The first thing that we must take into account is the following:

Experimental probability is the result of an experiment, and theoretical probability is based on the mathematical model developed in probability theory. With the above, we can affirm that the precision of the results of the experiments depends directly on the sample size of the experiment and the precision is greater when the sample size is greater.

This means that the odds are most likely not the same, they must be very close since it has been repeated a considerable number of times and the more times it is done the closer they will be to being the same.