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| {{for|a former lottery in Hong Kong which is known as "{{lang|zh|多重彩}}" in Chinese|Mark Six (1975-1976)}}
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| {{Demographics and Culture of Hong Kong}}
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| '''Mark Six''' (Chinese: 六合彩) is a [[lottery]] betting organized by the [[Hong Kong Jockey Club]].
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| [[Image:HK Mark Six - Aug 2006.jpg|thumb|250px|Mark Six advertisement outside a betting branch of Hong Kong Jockey Club]]
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| ==The game==
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| [[Image:Mark six ticket front.jpg|thumb|300px|The front of a used Mark Six ticket]]
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| [[Image:Mark Six Ticket Back.jpg|thumb|248px|The back of a used Mark Six ticket]]
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| Mark Six is a lottery style game where players guess what numbers will be drawn out of a [[lottery machine]]. The lottery machine is a transparent plastic cylinder which contains colored balls numbered 1 to 49. The cylinder is rotated to provide randomization in the drawing process. Each drawing occurs on 9:30PM (Hong Kong Time) every Tuesday, Thursday, and Sunday, while bets are accepted until 15 minutes prior to the drawing.
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| Players choose six numbers out of a possible 49. Each selection of the numbers costs 10 [[Hong Kong Dollar|HKD]] and is one selection of the results of the lottery draw. In the draw, 7 numbers are drawn. The first six numbers drawn are called the "drawn numbers". The last one drawn is called the "extra number". Often, in [[Yue Chinese|Cantonese]] this number is called a 'half number'.
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| {{As of|2011}}, prizes are awarded as follows:
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| ; ''Prize'' - Numbers color chosen
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| : 1st Division Prize - All six drawn numbers
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| : 2nd Division Prize - Five drawn numbers and the extra number
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| : 3rd Division Prize - Five drawn numbers
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| : 4th Division Prize - Four drawn numbers and the extra number
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| : 5th Division Prize - Four drawn numbers
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| : 6th Division Prize - Three drawn numbers and the extra number
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| : 7th Division Prize - Three drawn numbers
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| The payout for the 1st - 3rd division prizes depend on the sales of that draw, and the presence of Jackpots and Snowball (see below). The 1st prize is guaranteed to be at least HK$8 million. Where there are multiple winners for a division, the prize is shared.
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| The lower order prizes are fixed as shown below:
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| ;
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| : 4th Division Prize - Fixed at HK$9,600
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| : 5th Division Prize - Fixed at HK$640
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| : 6th Division Prize - Fixed at HK$320
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| : 7th Division Prize - Fixed at HK$40
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| ==Jackpots and Snowballs==
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| If nobody wins the 1st and 2nd prizes, the money that would have been paid out for the prizes will be added to a Jackpot (多寶獎) in the next draw. If there are winners of the first prize, these winners take the jackpot fund as well. If again there is no winner, the process continues until there is, and in such cases 1st division winnings can build up to about HKD$60 million (compared to the normal HKD$8 million 1st division prize), as seen several times in 2004 and 2005.
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| For each draw, a certain percentage (see below for details) of the entry money is deducted and placed into a Snowball Pool. On selected draws, the Snowball Pool is added to the 1st division prize as well. These draws are known as Snowball Draws (金多寶). The HKJC decides which draws are snowball draws. Usually the date is chosen to match a public holiday or festival, and the draw is named accordingly.
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| For example:
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| *[[Mid-Autumn Festival|Mid-Autumn]] Snowball Draws
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| *[[Easter]] Snowball Draws
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| *[[Chinese New Year]] Snowball Draws
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| *Summer Snowball Draws
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| *[[Christmas]] Snowball Draws
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| These draws are very popular due to their large 1st division prizes.
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| ==Allocation of Entry Money==
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| Similar to most lottery systems in the world, Mark Six is used as a method of raising money for the Hong Kong government. The game is also used to raise money for charitable purposes.
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| Every dollar spent on Mark Six is distributed as follows:
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| ;
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| :25% - Lottery Duty - paid to the Government
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| :15% - Lotteries Fund - used for financing social welfare capital projects
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| :6% - Commission - used to cover operating costs of the HKJC
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| :54% - Prize Fund - used to fund prize
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| As with all lottery systems, the expected winnings is lower than the entry cost, making this an [[unfair game]]. In the presence of Jackpots or Snowballs, the payout ratio of Mark Six can be much higher.
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| The amounts required to pay the guaranteed prizes (divisions 4-7) are deducted first from the prize pool. Then, 7% is placed into the snowball fund and the remainder is shared as follows:
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| : 1st division prize - 45% x ( Prize Fund – total amount payable to 4th, 5th, 6th & 7th Division Prizes – Snowball Deduction* ) / winning units
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| : 2nd division prize - 15% x ( Prize Fund – total amount payable to 4th, 5th, 6th & 7th Division Prizes – Snowball Deduction* ) / winning units
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| : 3rd division prize - 40% x ( Prize Fund – total amount payable to 4th, 5th, 6th & 7th Division Prizes – Snowball Deduction* ) / winning units
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| :* Effective from 1 July 2006, Snowball Deduction means a sum equivalent to 9% x (Prize Fund - total amount payable to 4th, 5th, 6th & 7th Division Prizes).
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| Note: The third division prize is allocated a larger proportion of the prize fund than the second division prize, but the winnings for this division are usually much smaller since many more people win the third division prize than the second.
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| ==Winning Probability==
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| {{As of|2011}}, the winning probability for each prize division is as follows:
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| {| class="wikitable" width=90% style="font-size:100%;"
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| | '''Prize''' || '''Criteria''' || '''Dividend ([[Hong Kong dollar|HKD]])''' || '''Probability''' || '''Expected investment for a win ([[Hong Kong dollar|HKD]])'''
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| | 1st Division || All 6 drawn numbers || 45% of prize fund after deduction || <math>\frac{1}{{49 \choose 6}} = \frac{1}{13,983,816}</math> || 139,838,160
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| | 2nd Division || 5 out of 6 drawn numbers, plus the extra number || 15% of prize fund after deduction || <math>\frac{{6 \choose 5}}{{49 \choose 6}} = \frac{1}{2,330,636}</math> || 23,306,360
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| | 3rd Division || 5 out of 6 drawn numbers || 40% of prize fund after deduction || <math>\frac{{6 \choose 5}{43 \choose 1}}{{49 \choose 6}}\approx\frac{1}{54,200.84}</math> || 542,008
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| | 4th Division || 4 out of 6 drawn numbers, plus the extra number || 9,600 || <math>\frac{{6 \choose 4}{42 \choose 1}}{{49 \choose 6}}\approx\frac{1}{22,196.5}</math> || 221,970<br>(23 times the dividend)
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| | 5th Division || 4 out of 6 drawn numbers || 640 || <math>\frac{{6 \choose 4}{43 \choose 2}}{{49 \choose 6}}\approx\frac{1}{1,032.4}</math> || 10,324<br>(17 times the dividend)
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| | 6th Division || 3 out of 6 drawn numbers, plus the extra number || 320 || <math>\frac{{6 \choose 3}{42 \choose 2}}{{49 \choose 6}}\approx\frac{1}{812.07}</math> || 8,130<br>(25 times the dividend)
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| | 7th Division || 3 out of 6 drawn numbers || 40 || <math>\frac{{6 \choose 3}{43 \choose 3}}{{49 \choose 6}}\approx\frac{1}{56.7}</math> || 567<br>(15 times the dividend)
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| |}
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| The overall odds of Mark Six,i.e. the probability of winning something is approximately 1:53.655. Compared to the biggest two lotteries available in the United States, Powerball (the overall odds are approximately 1:35) and Mega Millions (the overall odds are approximately 1:40),players have lower chance to win a prize in Mark Six.
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| The odds of getting 2 out of 6 drawn numbers plus the extra number are approximately 1 in 81.207, less likely than getting 3 out of 6 drawn numbers. However, there is no prize for only getting 2 out of 6 drawn numbers plus the extra number, which explains why Mark Six has lower overall odds. If one day this became the 8th division of the game, the overall odds of Mark Six would reduce to 1:32.208, comparable to counterparts in the United States.
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| {| class="wikitable" width=90% style="font-size:100%;"
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| | '''Prize''' || '''Criteria''' || '''Dividend ([[Hong Kong dollar|HKD]])''' || '''Probability''' || '''Expected investment for a win ([[Hong Kong dollar|HKD]])'''
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| | Imaginary 8th Division || 2 out of 6 drawn numbers, plus the extra number || N/A || <math>\frac{{6 \choose 2}{42 \choose 3}}{{49 \choose 6}}\approx\frac{1}{81.207}</math> || N/A
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| | Imaginary 9th Division || 2 out of 6 drawn numbers || N/A || <math>\frac{{6 \choose 2}{42 \choose 4}}{{49 \choose 6}}\approx\frac{1}{8.33}</math> || N/A
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| |}
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| ==Fairness==
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| The draws are broadcast live by one of the two free-to-air television stations in Hong Kong. To ensure the fairness of the draws, the HKJC invites outsiders to supervise the draw. They usually invite 2-3 people of high social status. For example, [[Justice of the Peace|Justices of the Peace]] are often invited. A few years ago, the HKJC started to invite representatives from the beneficiaries of its lottery fund as supervisors.
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| ==Popularity==
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| The game is immensely popular in Hong Kong. It is considered normal for Hong Kong people to play Mark Six. When the prize jackpot is very high, it is not uncommon for a total in excess of HKD$120 million to be spent on Mark Six (this is 24 million games from a total population of 7 million in Hong Kong).
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| Although the game is only available in Hong Kong, some people play it illegally in other countries, particularly in Mainland China. The reason for such popularity is because the draw takes place in Hong Kong and is broadcast live on television to ensure that no one can manipulate the draw. This is contrary to many lotteries in mainland China, where the draws are not broadcast live and there are many reports indicating that the draws are manipulated.
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| Apart from choosing the 6 numbers, people can make various side bets. Some of them are:
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| *the color of the extra number (the numbers are drawn in the form of colored balls)
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| *the [[parity (mathematics)|parity]] (even or oddness) of the extra number
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| Outside of Hong Kong, the bet can be less than HK$5 to increase sales (inside Hong Kong it is illegal to make bet with parties aside from the HKJC).
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| ==Trivia==
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| The new drawing machine, introduced on 2 December 2010, is the Halogen II designed and built by Smartplay International, Inc.
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| The previous drawing machine was the "Stresa" built by [[France|French]] company Ryo-Catteau.
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| To ensure the [[unpredictability]] of the draw, the drawing machine is replaced once every few years.
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| The background music featured in the television broadcasts of the draws is a version of ''Inkpot'', a song written by the Dutch rock band, from [[the Hague]], [[Shocking Blue]].
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| ==External links==
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| *[http://bet.hkjc.com/marksix/ Mark Six homepage]
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| [[Category:Lottery games]]
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| [[Category:Entertainment in Hong Kong]]
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| [[Category:Economy of Hong Kong]]
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