Probability Experiment

What is an experiment?

An experiment is an operation that we can repeat infinite times. It has a defined set of possible outcomes.

Example:

One of the most straightforward examples is rolling a die. It has only six outcomes (the numbers on the face): 1, 2, 3, 4, 5, 6. We can put the outcomes into the set and receive the sample space.

{1, 2, 3, 4, 5, 6}

Simulating an experiment

To find the probability of the desired outcome, we need to divide the number of appearances of the desired result at the experiment by the total number of trials.

Let's simulate the experiment of rolling a die 100 times. We get such results for each face:

• 1 - 30 times
• 2 - 10 times
• 3 - 15 times
• 4 - 15 times
• 5 - 20 times
• 6 - 10 times

Let's imagine that the desired outcome for us is the face with the number 5. Thus, the number of desired results is 20, and the number of trials is 100.

The result is the number of desired outcomes/number of trials = 20/100 = 0.2 = 20%.

The probability of getting a 5 is 20%!