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LotterySix Draw & Prizes Explanation

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LOOHP edited this page Dec 15, 2023 · 17 revisions

Prizes Allocation and Odds Calculator

An interactive calculator for prize allocation, prize qualification, chance and bet prices.

Overview

LotterySix is inspired by the lottery game "Mark Six" by the Hong Kong Jockey Club.

Each LotterySix draw has seven prize divisions, ranging from the jackpot in the 1st division for matching all 6 main numbers to a fixed prize of $(N * 4) in the 7th division for matching just 3 of the main numbers drawn. Each draw also has fixed prizes in the 4th, 5th and 6th divisions respectively.

A single unit bet is the fixed amount set in the config, which defaults to $10. During each round, 6 distinct numbers are chosen at random, with an additional "special number" after that.

Whilst the bottom four divisions are fixed prize amounts, the top three divisions all have prizes that vary depending on how much money ends up in the prize fund from bet sales and how many winners are in that division. The total prize fund for the division will be divided amongst all the winners of the division equally, with those that won using a partial unit investment winning their corresponding amount. The table below shows how the prize in each division is calculated.

The top divisions (1st - 3rd) prize fund is calculated in one of the two ways, whichever is higher

  • Lowest Top Places Prize* / 2 + Carry Over Fund^ + Amount Received from Ticket Sales * (1 - Tax Percentage#)
  • Lowest Top Places Prize*

*Lowest Top Places Prize is a value set in the config
^Carry Over Fund is the remaining prize money not given out for the top divisions due to the lack of a unit winner in that division in the previous round
#Tax Percentage is a value set in the config

It is then split into the top three prize divisions: 45% for the 1st division, 15-40% for the 2nd division and the remaining 0-40% for the 3rd division. 55% is shared between 2nd division and 3rd division, the actual percentage is adjusted within the bounds of each group as follows:

  • The prize money (55%) shared between 2nd and 3rd place winners will be shared evenly with 2nd place winners weighted 2.6 and 3rd places weighted 1.
  • If less than 1 unit bet won in 2nd or 3rd place, it will be treated as if 1 unit bet won in that division, and prizes allocated to this "winner that doesn't exist" will be moved into the carryover fund.
  • Each division (2nd or 3rd) with all their winners combined can only be allocated a maximum of 40%, if it is exceeded, the extra bit will be moved to the carryover fund
  • 2nd division with all their winners combined must be allocated at least 15%

If there are no winners in the 3rd division, the prize money for that tier is reallocated to the 1st and 2nd divisions as follows:

  • If there are no 2nd division winners as well, 100% of 3rd division prize money will be reallocated to the 1st division
  • Else, if there are no 1st division winners as well, 100% of 3rd division prize money will be reallocated to the 2nd division
  • Else, 75% and 25% of 3rd division prize money will be reallocated to the 1st and 2nd division respectively

If there are no winners in the 1st or 2nd division, the prize money for that tier will be moved to the Carry Over Fund for the next round.

If there is less than 1 unit of a winning bet in the 1st, 2nd or 3rd division, the remaining portion of the prize money not given out will also be moved to the Carry Over Fund for the next round.

After allocating prize money for all the divisions, these rules will then be checked

  • 1st division prize per unit bet must be 2 times higher than the 2nd division prize per unit bet
  • 2nd division prize per unit bet must be 2 times higher than the 3rd division prize per unit bet
  • 3rd division prize per unit bet must be 2 times higher than the 4th division prize per unit bet
  • 4th division prize per unit bet must be 15 times higher than the 5th division prize per unit bet
  • 5th division prize per unit bet must be 2 times higher than the 6th division prize per unit bet
  • 6th division prize per unit bet must be 8 times higher than the 7th division prize per unit bet

If these rules are not satisfied, the prize per unit bet of that tier will be lowered. If the reduced prize money is from the 2nd or 3rd division, they will be added to the Carry Over Fund for the next round.

Prizes Allocation & Odds

Prize Tier Numbers Matched Prize Fund Allocation Chance^
1st 6 $(T * 45%) i
2nd 5 + Special Number $(T * 0-40%) i
3rd 5 $(T * 15-40%) i
4th 4 + Special Number Fixed prize of $(N * 960) i
5th 4 Fixed prize of $(N * 64) i
6th 3 + Special Number Fixed prize of $(N * 32) i
7th 3 Fixed prize of $(N * 4) i

^Assuming 49 numbers are used
*N refers to the fixed price of 1 unit bet
*T refers to the total draw prize fund

Partial Unit Bets

Partial Unit Investment of $5 (Assuming $10 per bet)
Applicable to Multiple and Banker entries. All Prizes will be paid based on the fraction that the Partial Unit Bet bears to the Unit Bet.

Entry Types

The unit investment for each LotterySix Entry is $10 (Which can be changed in the config) with several types of entry available for selection.

Single Entry

Choose 6 different numbers
Simplest to understand, recommended for first-time players

Multiple Entry

Choose 7 or more different numbers
Example: If seven numbers 1, 2, 3, 4, 5, 6 and 7 are selected, it can be split into seven single entries as below:

Placed Bets
1+2+3+4+5+6
1+2+3+4+5+7
1+2+3+4+6+7
1+2+3+5+6+7
1+2+4+5+6+7
1+3+4+5+6+7
2+3+4+5+6+7

Banker Entry

Choose one to five number(s) as banker(s), with other numbers selected as legs
Example: If two bankers 1 and 2 with leg numbers 3,4,5,6 and 7 are selected, the breakdown of the selections in a 2-banker-and-5-leg-number entry is:

Bankers Legs
1+2 3+4+5+6
1+2 3+4+5+7
1+2 3+4+6+7
1+2 3+5+6+7
1+2 4+5+6+7

Random Entry

No idea what numbers to pick?
Let the computer pick random numbers for you!

Entry Investment Tables

Multiple Entry

Total Selections No. of Entries Total Investment (Assuming $10 per bet)
7 7 70
8 28 280
9 84 840
10 210 2,100
11 462 4,620
12 924 9,240
13 1,716 17,160
14 3,003 30,030
15 5,005 50,050
16 8,008 80,080
17 12,376 123,760
18 18,564 185,640
19 27,132 271,320
20 38,760 387,600
21 54,264 542,640
22 74,613 746,130
23 100,947 1,009,470
49 13,983,816 139,838,160

1 Banker With

No. of Other Selections No. of Entries Total Investment (Assuming $10 per bet)
6 6 60
7 21 210
8 56 560
9 126 1,260
10 252 2,520
11 462 4,620
12 792 7,920
13 1,287 12,870
14 2,002 20,020
15 3,003 30,030
16 4,368 43,680
17 6,188 61,880
18 8,568 85,680
19 11,628 116,280
20 15,504 155,040
21 20,349 203,490
22 26,334 263,340
48 1,712,304 17,123,040

2 Bankers With

No. of Other Selections No. of Entries Total Investment (Assuming $10 per bet)
5 5 50
6 15 150
7 35 350
8 70 700
9 126 1,260
10 210 2,100
11 330 3,300
12 495 4,950
13 715 7,150
14 1,001 10,010
15 1,365 13,650
16 1,820 18,200
17 2,380 23,800
18 3,060 30,600
19 3,876 38,760
20 4,845 48,450
21 5,985 59,850
47 178,365 1,783,650

3 Bankers With

No. of Other Selections No. of Entries Total Investment (Assuming $10 per bet)
4 4 40
5 10 100
6 20 200
7 35 350
8 56 560
9 84 840
10 120 1,200
11 165 1,650
12 220 2,200
13 286 2,860
14 364 3,640
15 455 4,550
16 560 5,600
17 680 6,800
18 816 8,160
19 969 9,690
20 1,140 11,400
46 15,180 151,800

4 Bankers With

No. of Other Selections No. of Entries Total Investment (Assuming $10 per bet)
3 3 30
4 6 60
5 10 100
6 15 150
7 21 210
8 28 280
9 36 360
10 45 450
11 55 550
12 66 660
13 78 780
14 91 910
15 105 1,050
16 120 1,200
17 136 1,360
18 153 1,530
19 171 1,710
45 990 9,900

5 Bankers With

No. of Other Selections No. of Entries Total Investment (Assuming $10 per bet)
2 2 20
3 3 30
4 4 40
5 5 50
6 6 60
7 7 70
8 8 80
9 9 90
10 10 100
11 11 110
12 12 120
13 13 130
14 14 140
15 15 150
16 16 160
17 17 170
18 18 180
44 44 440
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