Beat the lottery Many states run lotteries to raise money. A Web site advertises that it knows how to increase YOUR chances of Winning the Lottery. They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a lucky number to play, but maybe some numbers are luckier than others. Lets use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Pick a single value to bet, such as 1, and keep playing it over and over. Youll want to run at least 100 trials. (If you can program the simulations on a computer, run several hundred. Or generalize the questions to a lottery that chooses two- or three-digit numbersfor which youll need thousands of trials.) a) What proportion of the time do you expect to win? b) Would you expect better results if you picked a luckier number, such as 7? (Try it if you dont know.) Explain.

Math 1070 – Elementary Statistics on the texts: Elementary Statistics with Excel, Third Custom Edition for Math1070; Georgia State University and Elementary Statistics; Eleventh Edition. Mario F. Triola, and coordinating PowerPoint Slides. Chapter 5 – Discrete Probability Distributions 5-3 – Binomial Probability Distributions Definition A binomial probability distribution results from a procedure that meets all of the following requirements: 1. The procedure has a fixed number of trials. 2. The trials must be independent. (the outcome of any individual trial does not affect the probability in the other trials.) 3. Each trial must have all outcomes classified into two categories (commonly referred to as