Lotteries Research Paper Example | Topics and Well Written Essays - 1000 words

Lotteries - Research Paper Example In the United States, total annual lottery sales have grown into the billions of dollars. Lotteries also provide an excellent opportunity to use elementary financial mathematics, as well as some probability, in a context familiar to students. Most students do not have major financial decisions to make, so the principles of financial mathematics may seem far removed from their lives. However, most of them are familiar with the lottery and the topic readily engages them. The application of these mathematical concepts in the lottery is discussed in this paper. In several USA states and Canada Provinces, the 6/49 lottery operates as an average lottery. To win the lottery grand prize the contestant needs to select all six numbers exactly as drawn in the weekly or monthly contest. This will be used as the model system for the computations in this paper. Starting with a bag of 49 differently-numbered lottery balls, there is clearly a 1 in 49 chance of predicting the number of the first ball selected from the bag. Accordingly, there are 49 different ways of choosing that first number. When the draw comes to the second number, there are now only 48 balls left in the bag (because the balls already drawn are not returned to the bag), so there is now a 1 in 48 chance of predicting this number. Thus, each of the 49 ways of choosing the first number has 48 different ways of choosing the second. ... This continues until the sixth number has been drawn, giving the final calculation, 49 48 47 46 45 44, which can also be written as : . The order of the 6 numbers is not significant. That is, if a ticket has the numbers 1, 2, 3, 4, 5, and 6, it wins as long as all the numbers 1 through 6 are drawn, no matter what order they come out in. Accordingly, there are 6 5 4 3 2 1 = 6! or 720 ways they could be drawn. Dividing 10,068,347,520 by 720 gives 13,983,816. This can also be written as: . This function is called the combination function, denoted as COMBIN(n, k) in some spreadsheet. Taken as a class, the number of possible combinations for a given lottery can be referred to as the "number space" (n). "Coverage" is the percentage of a lottery's number space that is in play for a given drawing (k). Mathematical concepts can also be applied in making strategies in picking a number. Frequency analysis is a popular strategy that is used. It involves keeping track of the individual numbers that are drawn over a period of time. You might compare it to handicapping a racehorse; rating his past performance to determine what his chances of winning are in the future. The figure below shows how many times each of the numbers has come up in the main National Lottery draw. Here we look at whether the observed distribution of the number of times each of the 49 numbers has come up fits with what would be expected with a truly random draw. Figure 1. Number of occurrences of 1 to 49 in 1240 lottery draws (UK National Lottery, 1997). Numbers that appear often in a certain game are called hot numbers. Some players will play these hot numbers exclusively on the assumption that since they have appeared often in the past, they should appear again in the future.

Human trafficking Research Paper Example | Topics and Well Written Essays - 1000 words

Human trafficking - Research Paper Example U.S federal law has classified the concept of human trafficking into three sections:- Woman trafficking Labor trafficking Children trafficking (web, n.d., Human Trafficking) Why Woman Trafficking Is Especially Alarming? It is actually a surprising fact that most of the trafficking victims are women. Reports have shown that more than 70 percent women were forced to work as sex slaves or became a part of sex racket. Some of them also work as captive laborers or housekeepers with minimum wage or no wage. What is the major reason of the increasing number of women victims in human trafficking? Is it the soft nature of women which is creating problems for her? Yes, Gender discrimination is one of the main factors which put women in such kind of risks. Still, now in the world where we have Hilary Clinton as Secretary of the United States, many countries still consider women as second class citizens. It’s the male dominated world where women have told to not ask questions when their m an is speaking. With the modern technology, many things have changed but everything has not changed which is an unfortunate fact. Surprisingly, gender discrimination cases still happen in United States. Traffickers always look for a person who will not question and work quietly. Cate Johnson stated that â€Å"When one sells a woman, they can sell her over and over and over again. It is an incredibly lucrative business† (TED Case Studies web, n.d.). Lena, a young girl who was a native of Moldova became a victim of woman trafficking. She was in a relationship with her boyfriend when her boyfriend promised her to give her a good job. But she ended up being a prostitute in Dubai. (Fareell C, Pg 43. 2011). When trafficking of women is becoming a serious issue, it’s very important to make new international and national laws which would put a stop on this dirty business. Laws which have been made should be enacted strictly so that traffickers can’t go unabated or unpun ished. Along with these factors, political cooperation should also be made stronger (TED Case Studies web, n.d.). Children as Sex Toys Gone are the days when children were safe in the hands of neighbor. Nowadays with the Child trafficking cases increasing rapidly, its important train the small children on human trafficking so that they don’t become victims of the traffickers. In Kansas, four local men were found paying money to have sex with children. Among them one man was a naval recruiter which proves that all class of people is involved in this business. ILO, UNICEF and Global initiative to Fight Human Trafficking have come up with a training program on â€Å"Training manual to fight trafficking in children for labor, sexual and other forms of exploitation† on 15th September 2009 (web, n.d., Child Protection From Violence, Exploitation And Abuse). This program mainly intends to which focuses on children of and trained them on the aspects of human trafficking so tha t they can save them from the traffickers. It includes slide show presentations, textbooks on human trafficking and an assignment which gives the options to the trainers to choose from the programs. Trafficking in children is now becoming a global issue which has an impact on the children’s mind. It is not a surprise that more than 1 million children are being trafficked every year. Children are being trafficked for many reasons which includes sexual exploitation, labor