Using Mathematics to Win the Lottery

Lottery Basics

Many of you are probably familiar how lottery works.  A lottery is a game where a smaller group of numbers is chosen from a larger group. If you bet on the right combination, you win the jackpot prize, which is usually staggering.

lottery1

Although there is a common concept about lottery, there are variations in different places or countries.  In this post, I will use ours as an example. In the Philippines, as of this writing, we have three types of lottery: 6/42, 6/45 and 6/49. Yes, you guessed it right, 6/42 means 6 numbers are randomly chosen from a set of numbers from 1 through 42. We use the 6/42 lottery in the following discussion. Continue reading

GeoGebra Tutorial 20 – Spreadsheet, Slider and Curves of Best Fit

This the 20th tutorial of the GeoGebra Tutorial Series. If this is your first time to use GeoGebra, you might want to read first the GeoGebra Essentials Series.

In this tutorial, we use the spreadsheet window to input coordinates of points that will be plotted in the Coordinate plane.  We use the Best Fit Line tool to construct a line of best fit of the plotted points. Finally, we also use the Fitpoly command and the Slider tool to construct polynomial (with varying degrees) curves of best fit.  The output of our tutorial is shown below.

geogebra-spreadsheet-output

You can view the output of this tutorial here.

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