This document provides an overview of probability through three main points: 1. It defines probability as a measure of how likely an event is to occur, determined by dividing the number of possible outcomes by the total number of possible events. 2. It explains the difference between theoretical probability, which is calculated based on a theoretical model, and experimental probability, which is determined by repeated experiments. 3. It provides examples of calculating the theoretical probability of rolling a die and determining the experimental probability of winning a game through repeated trials.

1. Probability Independent Project Tasnim Mostafa Math 7D

2. ROOT Probable [ from Latin word probabilis that means may be proved; from probare which means to try, test, approve, make good; from probus good ] Probability comes from the word Probable which means likely, credible, possible, apparent, feasible ect…

3. Probability Probability is the measure of how likely it is that some event will happen.

4. Example Situation: You are rolling a die for a game. You need to know the chances of the die landing on 6

5. Calculation When calculating the probability of an occurrence you need to consider all the facts that may affect “it” occurring. Also you need to layout all the other possibilities for what might occur. So basically probability is determined by dividing the number of selected events by the number of total events possible. After all that when you know the probability you can express it through various ways such as: Fractionspercentages DecimalsRatios

6. Solving… Information to consider: The dice has 6 sides and the # 6 is on one side You have one chance to roll So you get a 1/6, .16,16%, 1 to 6 chance of rolling 6

7. Different types of Probability: Experimental Probability Theoretical Probability

8. Theoretical Probability Theoretical probability is when the chance of an event occurring gets determined by calculating results that would take place under a model or basic situation.

9. For Better Understanding… Example: The theoretical probability of rolling a 4 on a four-sided die is 1/ 4 or 25%, because there is one chance in four to roll a 4, and in a normal situation one out of every four rolls would be a 4. This is Theoretical Probability because you used practical theory to determine the chance of an even occurring.

10. Experimental Probability Experimental Probability is results taken from experiment. To get experimental probability you will test the same experiment several times and ratio the results of how many times tested and how many times occurred. That total is your experimental probability

11. For Better Understanding… Example: To find the experimental probability of winning a game, you play the game many times, then divide the number of games won by the total number of games played This is experimental probability because you experimented to get your results and repeated the experiment to get the accurate probability of occurrence.

12. Probabilityvisuals

13. THANK YOU Hope you gained lots of knowledge about probability