A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

Theoretical probability is the probability which can be find out without conducting the experiment. The theoretical probability of choosing the card which is multiple of 5 in 200 trials is 40.What is theoretical probability?Theoretical probability is the probability which can be find out without conducting the experiment. Theoretical probability can be find out by dividing the favorable outcomes to the total outcomes of an event.Given information-The total numbers contains by the card is 20 (1-20).Total number of trials done by the Mathleu is 200. As the probability of choosing the multiple of 5 has to be find out. Total cars which is multiple of 5 are 4 (5,10,15,20) and the total event is 200.Thus the theoretical probability of choosing the card which is multiple of 5 is,[tex]P=\dfrac{1}{5} \times200\\P=40[/tex]Hence the theoretical probability of choosing the card which is multiple of 5 in 200 trials is 40.Learn more about the theoretical probability here;