The likelihood of becoming the winner of a foreign lottery game

Contents

The rule 4. Start on time

PowerBall Lottery Ticket, by the way, worth 2 dollar. To calculate the benefits, which would pay off the purchase of a ticket, нужно умножить цену билета на 292 201 338.

More about calculations. This is a reference to the first point., where it says, that the benefit of a solution is equal to its value, multiplied by the probability. If we have an event with probability 1 / X and value N, then the benefit will be N / X. Мы тратим 2 доллара и можем подсчитать, how much the win would pay off the ticket purchase:

• 2 = N ÷ X.
• N = 2 × X, а X тут как раз равен 292 201 338, as shown by the calculations from the previous part.

You also need to take into account taxes (discover, what percentage of the declared amount will actually go to the winner, usually it's about 70%). То есть джекпот должен составлять как минимум 850 million dollars, and this happens in this lottery. How so, I said at the beginning, that the gain in such a multiplication is always not in favor of the player?

The fact, what if the jackpot has not been drawn, then it goes next time, and that's why money accumulates for a while, and ticket sales continue.

But it is impossible to find out in advance. However, you can start buying tickets, as soon as the size of the jackpot exceeds the mentioned amount. In such a situation, mathematically, the game will be beneficial.

You can still understand, which is more profitable: buy many tickets for one game or buy one ticket for many games? Let's think.

In probability theory there is a concept of unrelated events. It means, that the outcome of one event does not affect the outcome of another. for example, if you roll two dice, then the falling numbers on them are not related: in terms of randomness, one die does not affect the behavior of the other. But if you draw two cards from the deck, then these events are connected, because the first card depends on, what cards will remain in the deck.

A popular misconception about this is called a player error.. It arises from a person's intuitive idea of ​​the connectedness of unrelated events.

Returning to lotteries: different games are unrelated events, because the sequence of balls is re-selected. So the chances of winning any particular lottery do not depend on whether, how many times have you played it before. It is very difficult to accept intuitively., because a person every time, buying a ticket, thinks: “Well, now you're lucky, how long to, I've been playing a lot of time!" But no, probability theory is a heartless thing.

But buying multiple tickets for one game increases your chances proportionally, because tickets inside one game are tied: if one wins, means, other (with another combination) definitely won't win. Покупка 10 билетов увеличивает шансы в 10 time, if all combinations on the tickets are different (in fact, almost always it is). In other words, если у вас есть деньги на 10 tickets, it's better to buy them for one game, чем покупать по билету на 10 games.

If you just take a ticket from your salary once a month for the sake of, then, likely, the process of playing matters to you. Математически выгоднее скопить эти деньги и в конце года купить сразу 12 tickets, although, of course, losing in such a situation will be perceived more devastating.

Australia Powerball Profit Distribution.

Australia Powerball operating profits are distributed by the company, which is the lotto operator in the given territory. Today it is Tatts, which operates the Australia Powerball lottery in all territories, except Western Australia. Western Australia is operated by the government-owned LotteryWest.

Profit distribution of LotteryWest operator in Western Australia is published on the official website open access organizations. According to the specified data, near 60% of all ticket sales lotto Powerball Australia draws up the prize pool for the lottery draw. More 8% is a commission to lotto ticket providers and points of sale. Operating expenses are 7% arrived. Rest 25% the proceeds from Australian lottery sales are returned to the treasury for government projects and grants to non-profit organizations.

No data has been released on the distribution of profits from the Australia Powerball lottery by Tatts Group Limited, however, it's safe to say, that a significant part of the proceeds from the lottery also goes to fund charitable projects.

Powerball participants

USA lotteries. FROM 2020 all states with lotteries (shown in blue), and also the District of Columbia, Puerto Rico and US Virgin Islands Offer Powerball.

Powerball replaced Lotto * America in April 1992 of the year; Mega Millions replaced the "Big Game" 10 years later. (Cm. Below is the evolution of the name Mega Millions .)

Mega Millions and Powerball

Lottery Powerball Mega Millions
Arizona 4 April 1994 r. 18 April 2010 r.
Arkansas 31 October 2009 r. 31 january 2010 r.
California 8 April 2013 r. 22 june 2005 r.
Connecticut 28 November 1995 r. 31 january 2010 r.
Colorado 2 August 2001 r. 16 May 2010 r.
Delaware 14 january 1991 r. 31 january 2010 r.
Colombia area 13 february 1988 r. 31 january 2010 r.
Florida 4 january 2009 r. 15 May, 2013
Georgia 31 january 2010 r. 6 september 1996 r.
Idaho 1 february 1990 r. 31 january 2010 r.
Illinois 31 january 2010 r. 6 september 1996 r.
Indiana 14 October 1990 r. 31 january 2010 r.
Iowa 13 february 1988 r. 31 january 2010 r.
Kansas 13 february 1988 r. 31 january 2010 r.
Kentucky 10 january 1991 r. 31 january 2010 r.
Louisiana 5 Martha 1995 r. 16 November 2011 r.
Maine 30 july 2004 r. 9 May 2010 r.
Maryland 31 january 2010 r. 6 september 1996 r.
Massachusetts 3 february 2010 r. 6 september 1996 r.
Michigan 31 january 2010 r. 6 september 1996 r.
Minnesota 14 August 1990 r. 31 january 2010 r.
Mississippi 30 january 2020 r. 30 january 2020 r.
Missouri 13 february 1988 r. 31 january 2010 r.
Montana 9 November 1989 r. 1 Martha 2010 r.
Nebraska 21 july 1994 r. 20 Martha 2010 r.
New Hampshire 5 November 1995 r. 31 january 2010 r.
New Jersey 31 january 2010 r. 26 May 1999 r.
New Mexico 20 October 1996 r. 31 january 2010 r.
New York 31 january 2010 r. 17 May 2002 r.
North Carolina 30 May 2006 r. 31 january 2010 r.
North Dakota 25 Martha 2004 r. 31 january 2010 r.
Ohio 16 April 2010 r. 17 May 2002 r.
Oklahoma 12 january 2006 r. 31 january 2010 r.
Oregon 13 february 1988 r. 28 Martha 2010 r.
Pennsylvania 29 june 2002 r. 31 january 2010 r.
Puerto Rico 28 september 2014 r. Not offered
Rhode Island 13 february 1988 r. 31 january 2010 r.
South Carolina 6 October 2002 r. 23 October 2018 r.
North Dakota 15 November 1990 r. 16 May 2010 r.
Tennessee 21 April 2004 r. 31 january 2010 r.
Texas 31 january 2010 r. 5 December 2003 r.
US Virgin Islands 14 November 2010 r. 4 October 2010 r.
Vermont 1 july 2003 r. 31 january 2010 r.
Virginia 31 january 2010 r. 6 september 1996 r.
Washington 31 january 2010 r. 4 september 2002 r.
west virginia 13 february 1988 r. 31 january 2010 r.
Wisconsin 10 August 1989 r. 31 january 2010 r.
Wyoming 24 August 2014 r. 24 August 2014 r.

Alabama , Alaska , Hawaii , Nevada and Utah don't sell lottery tickets.

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