PROBABILITY

Hello everyone! We just discussed about the continuation of Pascal's triangle. It has many use like the representation of Fibonacci Sequence, Hockey Stick, and Sum of the Rows.

Fibonacci Sequence is:

- The sequence of numbers 1, 1, 2, 3, 5, 8, 13, . . . ., in which each successive number is equal to the sum of two preceding numbers.

- to understand clearly, you must follow the gray line in the image and in adding the numbers you must only count where the line pass through.

1 + 0 = 1, 1 + 0 = 1, 1 + 1 = 2, 1 + 2 = 3, 1 + 3 + 1 = 5 and so on.

In Hockey Stick :

- " if a diagonal of numbers of any length is selected starting at any of the 1's bordering the sides of the triangle and ending on any number inside the triangle on that diagonal, sum of the numbers inside the selection is equal to the number below the end of the selection that is not the same diagonal itself. If you don't understand that, look at the drawing ".

in the green marked :

1 + 7 + 28 + 84 + 210 + 462 + 924 + = 1716

in the red marked :

1 + 6 + 21 + 56 = 84

and in blue marked :

1 + 12 = 13

About in Sum of the Rows :

- the sum of the numbers in any row is equal to 2 to the nth power, when n is the number of the row. For Example :

2º = 1

2¹ = 1 + 1 = 2

2² = 1 + 2 + 1 = 4

2³ = 1 + 3 + 3 + 1 = 8

In addition to what we've discuss, Mr K. told us to create an account in Delicious.com.

First :

1.) go to delicious.com

2.) Join! or Sign Up to create an account

3.) after you fill up the information needed to make an account, the home page will pooped-up.

4.) click your name in the upper right side. Ex: James

5.) click How to get Started

6.) click also Install Firefox Adds-on if you don't have.

and that's all foks, I hope you will correct me if I have mistakes and missing information.