Answer:
[tex]P (2) =\frac{1}{7}[/tex] Theoretical probability
Step-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 = 1
The amount of paper in the bag is equal to 7, so:
number of possible results = 7
Thus:
[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.
