A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Isthis an experimental or theoretical probability and why?

Answer:[tex]P (2) =\frac{1}{7}[/tex]  Theoretical probabilityStep-by-step explanation:The theoretical probability is defined as:[tex]P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}[/tex]In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:number of desired results = 1The amount of paper in the bag is equal to 7, so:number of possible results = 7Thus:[tex]P (2) =\frac{1}{7}[/tex]This is a theoretical probability, since we do not need to perform the experiment to calculate the probability. To calculate the experimental probability we must perform the following experiment:Take a paper out of the bag, record the number obtained and then return the paper to the bag.Now repeat this experiment n times. (Perform n trials)So:[tex]P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}[/tex]To calculate a theoretical probability you always need to perform an experiment with n trials.