Probability Terminology and Evaluating Probabilities - Math Academy Tutoring,

1. Welcome to Math Academy Tutoring Probability: Terminology and Evaluating Probabilities

2. What We'll Discuss Today Introduction Terminology Finding the probability for an event Conclusion

3. WORDS TO INSPIRE YOU Mathematics is the language in which God has written the universe. GALILEO GALILEI

4. Introduction After introducing the probability theory in the previous article: Probability: Introduction to Probability Theory, we continue our journey by diving more and learning the basics, in this article, we will continue the introduction and learn some terminology alongside the basic method of evaluating and calculating the probability of a given event.

5. Terminology Experiment We mean by experiment action of performing or conducting a test, an evaluation, or an investigation, and we get a result by the end of the experiment. an experiment may have one or many possible results, also, based on the number of possible results we can define two types of experiments: the deterministic experiments and the probabilistic ones.

6. Random experiment: We call random experiment (or probabilistic experiment) every experiment or a trial where we can’t foretell the outcome of the experiment beforehand, in other terms, throughout the experiment, there is one or many parts of it ruled by chance and randomness and therefore we can’t predict with certainty the result of the experiments before the experiment is done.

7. Examples of random experiments: Rolling a die, we know the possible results are the numbers from 1 to 6 but we can’t predict with certainty the result. Tossing a coin, we know that there are two possible results Head or tails, but we can’t determine beforehand the outcome of a toss. Selecting a numbered ball from an urn containing balls numbered from 1 to 100, of course without looking we can’t foretell the number of the ball we are going to take out. Taking out a card from a well-shuffled deck of cards. The winner of a car race. The winner or winners of a lottery. The score of a basketball game.

8. Deterministic experiment: We call a determinist experiment every experiment or a trial that we can predict with certainty the outcome experiment in advance, meaning throughout the experiment, there is no part ruled by chance or chaos and thus we can determine with certainty the outcome of the experiment even before it happens if we know its inputs or variables.

9. Examples of deterministic experiments: The addition of two numbers and; for instance, the addition of 8 and 21 is certainly 29, there is no maybe in there. The multiplication of two numbers; In the experiment of decomposition of water, we know for sure that we will have in a result oxygen and hydrogen. Science experiments of established laws like conducting an experiment to test Newton’s laws Motion or gravity … etc.

10. Conclusion We learned the basic terminology of the probability theory; we also learned how to evaluate probabilities of given events by extracting the important and essential information and using the probability axioms to determine the probability of the event in question. keep in mind this is still an introduction to probability theory and we have much more to learn, and yes!!! there will be more articles on this subject!!!!!

11. My Tutoring Hours PLEASE DROP BY AND SEE ME! 24/7 AVAILABLE!

12. Contact Information PHONE NUMBER +1 (917) 810-4125 EMAIL ADDRESS info@mathacademytutoring.com ADDRESS 394 Broadway (11,764.56 km) 11201 New York, NY, US