Probabilities are the chances of something happening when comparing to things together. I am good at probabilities because I can setup proportions, and I have the help of my friend Pascal and his invention the Pascal triangle.  On a billiard ball model to find the probabilities of finding the chances of the balls being all on the right side of the model, you have two ways to find out:

1.You can take the number of balls in the model and u go down as many of rows as the number of balls on Pascal’s triangle.  You add up all the numbers on that  row and that will give you the amount of chances.  The numbers are your chances.  Example: you have three billiard balls and on Pascal’s triangle the third row is the last row in the model. Add them up and you get 8. Your chances of getting them none on the right is 1/8, one on the right 3/8, two right 3/8, all on the right  1/8.

 

                                                                            

                                                                                 

 

 

 

 

1

 

 

 

 

 

 

 

1

 

1

 

 

 

 

 

1

 

2

 

1

 

 

 

1

 

3

 

3

 

1

 

1

 

4

 

6

 

4

 

1

 

           

 

 

 

 

 

 

  1. The second way is to list all of the ways the balls can end up. Then  add up all the ways and that is your chances and then see how many ended up on the right such as, one on the right, none on the right, two on the right, and all three on the right.  Example: RRR, RLR, RRL, RLL, LLL, LLR, LRL, LRR.  So you have eight chances and the number of  the ways they end up on the right.

 

 

There is how you do the probabilities and two ways you can do them.  Now you are ready to graph your results.