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Lucky 6 35/48

Introduction

Lucky 6 35/48 is a lottery game that involves drawing 35 balls from a set of 48, without replacement. Players select six balls beforehand and receive payouts based on the number of their chosen balls that match the drawn ones. Currently, there are two providers for this game, and I will outline the rules for both.

It's important not to mix up Lucky 6 35/48 with another lottery game known as Lucky 6 .

Lottery Instant Win

Lottery Instant Win The following pay table provides insights into expected returns, beginning with a return of 84.31% shown in the lower-left corner.

Lottery Instant Win Pay Table

Balls Pays Probability Return
6 100000 0.000000081 0.008149
7 10000 0.000000489 0.004889
8 5000 0.000001711 0.008556
9 2000 0.000004563 0.009127
10 1000 0.000010268 0.010268
11 500 0.000020535 0.010268
12 300 0.000037648 0.011294
13 200 0.000064540 0.012908
14 100 0.000104877 0.010488
15 90 0.000163142 0.014683
16 80 0.000244713 0.019577
17 70 0.000355946 0.024916
18 60 0.000504257 0.030255
19 50 0.000698202 0.034910
20 40 0.000947560 0.037902
21 30 0.001263414 0.037902
22 25 0.001658231 0.041456
23 20 0.002145946 0.042919
24 15 0.002742042 0.041131
25 10 0.003463632 0.034636
26 9 0.004329540 0.038966
27 8 0.005360383 0.042883
28 7 0.006578651 0.046051
29 6 0.008008793 0.048053
30 5 0.009677292 0.048386
31 4 0.011612750 0.046451
32 3 0.013845971 0.041538
33 2 0.016410040 0.032820
34 1.5 0.019340404 0.029011
35 1 0.022674956 0.022675
36 to 48 0 0.867729421 0.000000
Total   1.000000000 0.843068

Merrybet

Lucky 6-35-48 Merrybet

The subsequent table illustrates the returns based on the pay table utilized by the Merrybet casino, not accounting for the Clover multiplier just yet. The lower right corner indicates an expected return of 101.94%.

Merrybet Pay Table — Before the Inclusion of Clover Multiplier

Balls Pays Probability Return
6 10000 0.000000081 0.000815
7 7500 0.000000489 0.003667
8 5000 0.000001711 0.008556
9 2500 0.000004563 0.011409
10 1000 0.000010268 0.010268
11 500 0.000020535 0.010268
12 300 0.000037648 0.011294
13 200 0.000064540 0.012908
14 150 0.000104877 0.015732
15 100 0.000163142 0.016314
16 90 0.000244713 0.022024
17 80 0.000355946 0.028476
18 70 0.000504257 0.035298
19 60 0.000698202 0.041892
20 50 0.000947560 0.047378
21 40 0.001263414 0.050537
22 30 0.001658231 0.049747
23 25 0.002145946 0.053649
24 20 0.002742042 0.054841
25 15 0.003463632 0.051954
26 10 0.004329540 0.043295
27 9 0.005360383 0.048243
28 8 0.006578651 0.052629
29 7 0.008008793 0.056062
30 6 0.009677292 0.058064
31 5 0.011612750 0.058064
32 4 0.013845971 0.055384
33 3 0.016410040 0.049230
34 2 0.019340404 0.038681
35 1 0.022674956 0.022675
36 to 48 0 0.867729421 0.000000
Total   1.000000000 1.019353

In the Merrybet casino, the game will randomly position two clovers on the scoring board from the 6th to the 35th selected balls prior to the ball draw. If any drawn number matches a player’s selection in these positions, the payout will be doubled. If two numbers in clover positions correspond to the player's picks, the winnings will be tripled.

Determining the probability of the Clover multipliers involved complex calculations, so I conducted a random simulation of 644,500,000 games to find the average multiplier associated with matching all six of the player’s selections. The table below displays these multipliers along with the adjusted winnings factoring in the multiplier. The lower right corner shows an expected return of 134.60%, assuming the clovers are evenly distributed from the 6th to the 35th positions on the scoreboard and that the ball draw is conducted fairly.

Merrybet Pay Table — After Incorporating Clover Multiplier

Balls Pays Average
Multiplier
Probability Return
6 10000 1.065217 0.000000081 0.000868
7 7500 1.087087 0.000000489 0.003986
8 5000 1.173752 0.000001711 0.010043
9 2500 1.199587 0.000004563 0.013686
10 1000 1.221471 0.000010268 0.012542
11 500 1.231463 0.000020535 0.012644
12 300 1.251580 0.000037648 0.014136
13 200 1.258473 0.000064540 0.016244
14 150 1.270126 0.000104877 0.019981
15 100 1.280259 0.000163142 0.020886
16 90 1.288411 0.000244713 0.028376
17 80 1.295503 0.000355946 0.036890
18 70 1.301718 0.000504257 0.045948
19 60 1.308082 0.000698202 0.054798
20 50 1.313961 0.000947560 0.062253
21 40 1.316674 0.001263414 0.066540
22 30 1.320792 0.001658231 0.065705
23 25 1.323907 0.002145946 0.071026
24 20 1.326784 0.002742042 0.072762
25 15 1.330749 0.003463632 0.069138
26 10 1.333275 0.004329540 0.057725
27 9 1.336543 0.005360383 0.064479
28 8 1.338122 0.006578651 0.070424
29 7 1.340937 0.008008793 0.075175
30 6 1.342334 0.009677292 0.077941
31 5 1.344725 0.011612750 0.078080
32 4 1.346001 0.013845971 0.074547
33 3 1.348010 0.016410040 0.066363
34 2 1.349547 0.019340404 0.052202
35 1 1.350959 0.022674956 0.030633
36 to 48 0 1.235865 0.867729421 0.000000
Total   1.250024 1.000000000 1.346022

Colors Completed

The Lottery Instant Win provides five side bets based on the number of colors completed among the 35 drawn balls. The 48 balls come in eight distinct colors, with six balls allocated for each color.

Lottery Instant Win Pay Table

Balls Pays Combinations Probability Return
Exactly 0 3.5 46,948,206,528 0.243345 0.851709
Exactly 1 1.7 94,168,766,160 0.488103 0.829774
Exactly 2 3 45,626,036,400 0.236492 0.709477
Exactly 3 20 6,012,429,360 0.031164 0.623281
Exactly 4 or 5 800 172,810,848 0.000896 0.716581

For anyone curious (including myself, if I forget later), here are the formulas for determining the counts of different colors:

  • When exactly 0 colors are present, it equates to the formula: COMBIN(48,35)-8*COMBIN(42,29)+COMBIN(8,2)*COMBIN(36,23)-COMBIN(8,3)*COMBIN(30,17)+COMBIN(8,4)*COMBIN(24,11)-COMBIN(8,5)*COMBIN(18,5) = 46,948,206,528.
  • For exactly 1 color, use the formula: COMBIN(8,1)*(COMBIN(42,29)-7*COMBIN(36,23)+COMBIN(7,2)*COMBIN(30,17)-COMBIN(7,3)*COMBIN(24,11)+COMBIN(7,3)*COMBIN(18,5)) = 94,168,766,160.
  • To find exactly 2 colors, apply this formula: COMBIN(8,2)*(COMBIN(36,23)-6*COMBIN(30,17)+COMBIN(6,2)*COMBIN(24,11)-COMBIN(6,3)*COMBIN(18,5)) = 45,626,036,400.
  • For exactly 3 colors, the formula becomes: COMBIN(8,3)*(COMBIN(30,17)-5*COMBIN(24,11)+COMBIN(5,2)*COMBIN(18,5)) = 6,012,429,360.
  • Exactly 4 = =COMBIN(8,4)*(COMBIN(24,11)-4*COMBIN(18,5)) = 172,331,040
  • Exactly 5 = COMBIN(8,5)*COMBIN(18,5) = 479,808

Color Completed

At Merrybet casino, players can make eight proposition bets regarding whether all balls of a selected color will emerge during the 35-ball draw. To clarify, the wager wins only if every ball of the chosen color is drawn. As mentioned, the balls are organized into eight colors of six each. This bet returns 6 for every 1 wagered, with the expected return outlined in the table below of 79.36%.

Color Completed

Balls Pays Combinations Probability Return
Win 6 25,518,731,280 0.132271 0.793623
Loss 0 167,409,518,016 0.867729 0.000000
Total   192,928,249,296 1.000000 0.793623

Additionally, Merrybet casino offers two proposition bets focusing on whether more odd or even balls will come out during the draw of 35 balls. Winning payouts here are at 1.8 for every 1 staked. The bottom right corner of the following table indicates an expected return of 90%.

More Odds or Evens

Balls Pays Combinations Probability Return
Win 1.8 96,464,124,648 0.500000 0.900000
Loss 0 96,464,124,648 0.500000 0.000000
Total   192,928,249,296 1.000000 0.900000

In the Merrybet casino, there are two proposition bets centered on whether the initial ball drawn will be odd or even. Successful bets yield 1.8 for every 1 wagered. The table's bottom right cell reveals an expected return of 90%.

More Odds or Evens

Balls Pays Combinations Probability Return
Win 1.8 24 0.500000 0.900000
Loss 0 24 0.500000 0.000000
Total   48 1.000000 0.900000

First Ball Odd or Even

Merrybet has two proposition bets that focus on whether the first ball drawn will be above or below 24.5. Winning wagers return 1.8 for every 1 bet. The final right cell in the adjacent table indicates an expected return of 90%.

First Ball Odd or Even

Balls Pays Combinations Probability Return
Win 1.8 24 0.500000 0.900000
Loss 0 24 0.500000 0.000000
Total   48 1.000000 0.900000

First Ball Over or Under 24.5

Sum of the First Five Balls: Above or Below 122.5

First Ball Over or Under 24.5

Balls Pays Combinations Probability Return
Win 1.8 856,152 0.500000 0.900000
Loss 0 856,152 0.500000 0.000000
Total   1,712,304 1.000000 0.900000

Merrybet offers two proposition bets that assess whether the total of the first five balls drawn will exceed or fall short of 122.5. Winning bets return 1.8 for every 1 wagered. The bottom right corner of the following table outlines an expected return of 90%.

You can engage in discussions about Lucky 6 35/48 on my forum at

Merrybet offers two proposition bets that assess whether the total of the first five balls drawn will exceed or fall short of 122.5. Winning bets return 1.8 for every 1 wagered. The bottom right corner of the following table outlines an expected return of 90%.

Balls Pays Combinations Probability Return
Win 1.8 856,152 0.500000 0.900000
Loss 0 856,152 0.500000 0.000000
Total   1,712,304 1.000000 0.900000

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