Experimental vs. Theoretical Probability

How many of you have ever played the game twister?  When you play twister the probability of the spinner landing on red, blue, green, or yellow is ¼ or 1 out of 4 (Examine picture above).  However when you spin the spinner to play the game a lot of times it doesn’t work out that way.  What is the purpose of having probability if it doesn’t essentially work out?  However our propaganda does not end there.  Many of you have flipped coins before and situations have occurred where you don’t get a “heads” 1 out of 2 times.  Sometimes you get a heads 0 out of 2 times or 2 out of 2 times.  This leads to a few very specific questions.  Is there a difference between the probabilities we conduct through experiment and the probabilities we theoretically believe to be true?  How can we make a comparison of these two probabilities?  Lastly, do these two probabilities ever coincide or equal exactly the same?  If so when does this occur?  We will be conducting a series of experiments or simulations online involving these specific activities to develop an in depth understanding of these essential questions.   Developing this kind of understanding may even make you more successful on your next trip to the casino!  So as you complete this webquest think about how this will have an impact on your chances to win big!