What you need to know about lotteries before starting and a little about probabilities
Probability of winning the top prize in Eurojackpot - the international European lottery – one to 59 325 280; in Gosloto 6 of 45 " – one to 8 145 060. And here are the chances of winning at Gosloto 5 out of 36 "already one to 376 992. Probability theory from the section of mathematical analysis is not just numbers for that, to torture students. This is part of the real world, even applicable to you personally. So let's, First of all, let's figure it out, how the lottery works, and, Secondly, we will connect the mathematical apparatus to calculating the possibilities of our winning.
maybe, you didn't know, but with 2014 year in our country there is a Federal Law "On Lotteries", according to which non-state lotteries are strictly prohibited in Russia. Whence follows the following: the state is tirelessly watching over the organization and distribution of prizes, it makes no sense for them to deceive or advertise themselves, so all the winners, at least on pieces of paper, real, ordinary people, living among us. So Gosloto, Sportloto, Russian lotto and so on - lotteries, directly by the state.
There are two things to know about lottery classification.:
- The lottery can be drawn. This type of lottery involves holding separate draws, which imply the distribution of some part of the tickets, and after the distribution, the existing awards in the prize fund are drawn.
- The second option for the lottery is no-draw, in which the results are determined either by verifying the ticket for the winning combination immediately after its purchase, or by holding a drawing specifically for this purchased ticket.
Practice and experience show, that it is almost impossible to win on sweepstakes lotteries, since the combinations themselves are already, let's say, programmed into the ticket. For example, try to imagine, that you are organizing a car draw for a hundred tickets, divide into a batch of twenty, each of which you send to several cities. What is the chance that, that a random person will end up in the exact city and in the exact distribution point of lottery tickets, where will get a winning combination the first time? Agree, chance is small. In large lotteries, not a hundred, and not even a thousand tickets. Therefore, immediately dismiss the option of participating in the sweepstake lottery., unless you have a desire to run around the city and buy all the tickets available. And what's more, there is some nominal side to cheating: where are the guarantees, that every lottery honestly means a winning ticket, and not doing "show-off"? Therefore, when choosing a lottery to participate, specify its type and be sure to choose a draw.
Here's a case from life. Once during the regular "6 out of 42" lottery in Bulgaria, an interesting incident occurred: the same combination of winning numbers dropped out in two draws in a row: 4, 15, 23, 24, 35 and 42. Unbelievable, you say? And it's all about these very probabilities, and this is another point on which you should have an idea, when do you become a lottery participant.
Flip a coin up five times and count how many times you get, for example, tail. Do you agree, that all five times may come up "tails"? Or, on the contrary, all five times you get heads? This series of outcomes doesn't seem unrealistic to you.? Likewise with drawn lotteries, where, in theory, everyone has an equal chance of hitting heads or tails. And even if you don't hit the top jackpot, then the probability of getting some other smaller prize you always have. This is how probability theory works.
