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Joker Bet

Introduction

Joker Bet is a game based on chance that utilizes a deck of 54 cards, revealing one card at a time. Players can place various wagers before each draw, including bets on the specific card, its color, suit, and rank. You can find this game at TvBet , a provider that specializes in live dealer experiences for online casinos.

Rules

  1. The game utilizes a typical deck of 54 cards, which includes one joker of each color.
  2. At the beginning of each round, the dealer will draw one card from a shuffled deck.
  3. Players have the opportunity to place bets on several aspects of the next card drawn from the deck:
    • Exact card
    • Rank
    • Suit
    • Color
    • Either joker
    • Number card (rank 2 to 10)
    • Not a number card (J, Q, K, A, or Joker)
  4. The dealer will reveal the next card, and all placed bets will be settled automatically.
  5. Repeat this process until only one card is left in the deck.
  6. The odds provided for a particular bet are adjusted after each card is revealed, displayed as a ratio 'for one'.
  7. Bets will not be available if they cannot result in a win.
joker bet img 2

Win Rounding

Through careful observation, I have deduced the method by which the game determines payouts for winning bets:

  • If the chance of winning is 4.5% or lower, winning odds will be calculated as 5 * int(0.18/p).
  • If the probability of winning is between 4.5% and 9.0%, the odds for wins will be set at int(0.9/p).
  • If the probability of winning falls between 9.0% and 18.0%, the game will offer winning odds calculated as 0.1 * int(9/p).
  • For winning probabilities at 18.0% and above, the game will provide winning odds of 0.01 * int(90/p).

Essentially, the game calculates the odds and rounds them to preserve a 90% payout. If the unrounded value is 20 or higher, it will be rounded down to the nearest 5. If it's between 10 and 20, it gets rounded down to the nearest whole number. If it's between 5 and 10, it is rounded to one decimal place. Lastly, any number below that rounds down to two decimal places.

Expected returns from bets will vary based on the winning probabilities categorized as follows:

  • For a winning probability of 4.5% or less, expected returns range from 72.00% to 90.00% (this range hits its lowest point with a winning chance of 3.6%).
  • With winning probabilities between 4.5% to 9.0%, returns range from 81.82% to 90.00% (the lowest point here is at a winning chance of 8.18%).
  • For winning chances between 9.0% and 18.0%, the returns will range from 88.24% to 90.00%, with the lowest point at a 17.65% chance of winning.
  • For probabilities of winning at 18.0% or higher, the returns fall within 89.60% to 90.00%, with the lowest potential winning probability at 80.00%.
joker bet img 3

Suit Analysis

The table below illustrates an example scenario, showing the remaining cards in each suit along with the jokers, as well as the odds for each and the expected returns for bets made on each suit. In the 'cards remaining' column, the figures denote the counts of spades, clubs, diamonds, hearts, and jokers, respectively. The 'pays' column outlines the winning payouts in the same order.

As evidenced in the four return columns, the game effectively adjusts the odds to ensure a 90% payout.

Suit Bets

Last
Card
Played
Cards
Left
(Spades,
Clubs,
Diamonds,
Hearts,
Jokers)
Pays
(Spades,
Clubs,
Diamonds,
Hearts)
Spades
Return
Clubs
Return
Diamonds
Return
Hearts
Return
2c 13, 12, 13, 13, 2 3.66, 3.97, 3.66, 3.66 89.8% 89.9% 89.8% 89.8%
4s 12, 12, 13, 13, 2 3.9, 3.9, 3.6, 3.6 90.0% 90.0% 90.0% 90.0%
2s 11, 12, 13, 13, 2 4.17, 3.82, 3.53, 3.53 89.9% 89.9% 90.0% 90.0%
7h 11, 12, 13, 12, 2 4.09, 3.75, 3.46, 3.75 90.0% 90.0% 90.0% 90.0%
3h 11, 12, 13, 11, 2 4, 3.67, 3.39, 4 89.8% 89.9% 89.9% 89.8%
Ah 11, 12, 13, 10, 2 3.92, 3.6, 3.32, 4.32 89.8% 90.0% 89.9% 90.0%
Qh 11, 12, 13, 9, 2 3.84, 3.52, 3.25, 4.7 89.9% 89.9% 89.9% 90.0%
10c 11, 11, 13, 9, 2 3.76, 3.76, 3.18, 4.6 89.9% 89.9% 89.9% 90.0%
Jh 11, 11, 13, 8, 2 3.68, 3.68, 3.11, 5 90.0% 90.0% 89.8% 88.9%
9s 10, 11, 13, 8, 2 3.96, 3.6, 3.04, 4.95 90.0% 90.0% 89.8% 90.0%
10s 9, 11, 13, 8, 2 4.3, 3.51, 2.98, 4.83 90.0% 89.8% 90.0% 89.9%
Jc 9, 10, 13, 8, 2 4.2, 3.78, 2.91, 4.72 90.0% 90.0% 90.0% 89.9%
10d 9, 10, 12, 8, 2 4.1, 3.69, 3.07, 4.61 90.0% 90.0% 89.9% 90.0%
8c 9, 9, 12, 8, 2 4, 4, 3, 4.5 90.0% 90.0% 90.0% 90.0%
7s 8, 9, 12, 8, 2 4.38, 3.9, 2.93, 4.38 89.8% 90.0% 90.0% 89.8%
BJ 8, 9, 12, 8, 2 4.27, 3.8, 2.85, 4.27 89.9% 90.0% 90.0% 89.9%
10h 8, 9, 12, 7, 2 4.16, 3.7, 2.78, 4.75 89.9% 90.0% 90.0% 89.9%
8d 8, 9, 11, 7, 2 4.05, 3.6, 2.95, 4.62 90.0% 90.0% 90.0% 89.8%
5s 7, 9, 11, 7, 2 4.5, 3.5, 2.86, 4.5 90.0% 90.0% 90.0% 90.0%
4c 7, 8, 11, 7, 2 4.37, 3.82, 2.78, 4.37 90.0% 89.9% 90.0% 90.0%
3d 7, 8, 10, 7, 2 4.24, 3.71, 2.97, 4.24 89.9% 89.9% 90.0% 89.9%
Jd 7, 8, 9, 7, 2 4.11, 3.6, 3.2, 4.11 89.9% 90.0% 90.0% 89.9%
5h 7, 8, 9, 6, 2 3.98, 3.48, 3.1, 4.65 89.9% 89.8% 90.0% 90.0%
2h 7, 8, 9, 5, 2 3.85, 3.37, 3, 5.4 89.8% 89.9% 90.0% 90.0%
9h 7, 8, 9, 4, 2 3.72, 3.26, 2.9, 6.5 89.8% 89.9% 90.0% 89.7%
5d 7, 8, 8, 4, 2 3.6, 3.15, 3.15, 6.3 90.0% 90.0% 90.0% 90.0%
Qs 6, 8, 8, 4, 2 4.05, 3.03, 3.03, 6 90.0% 89.8% 89.8% 88.9%
Qc 6, 7, 8, 4, 2 3.9, 3.34, 2.93, 5.8 90.0% 89.9% 90.0% 89.2%
Ks 5, 7, 8, 4, 2 4.5, 3.21, 2.81, 5.6 90.0% 89.9% 90.0% 89.6%
Ac 5, 6, 8, 4, 2 4.32, 3.6, 2.7, 5.4 90.0% 90.0% 90.0% 90.0%
6c 5, 5, 8, 4, 2 4.14, 4.14, 2.59, 5.1 90.0% 90.0% 90.0% 88.7%
6s 4, 5, 8, 4, 2 4.95, 3.96, 2.48, 4.95 90.0% 90.0% 90.0% 90.0%
2d 4, 5, 7, 4, 2 4.72, 3.78, 2.7, 4.72 89.9% 90.0% 90.0% 89.9%
Js 3, 5, 7, 4, 2 6, 3.6, 2.57, 4.5 90.0% 90.0% 90.0% 90.0%
9d 3, 5, 6, 4, 2 5.7, 3.42, 2.85, 4.27 90.0% 90.0% 90.0% 89.9%
8h 3, 5, 6, 3, 1 5.4, 3.24, 2.7, 5.4 90.0% 90.0% 90.0% 90.0%
RJ 3, 5, 6, 3, 0 5.1, 3.06, 2.55, 5.1 90.0% 90.0% 90.0% 90.0%
8s 2, 5, 6, 3, 0 7.2, 2.88, 2.4, 4.8 90.0% 90.0% 90.0% 90.0%
4d 2, 5, 5, 3, 0 6.7, 2.7, 2.7, 4.5 89.3% 90.0% 90.0% 90.0%
Qd 2, 5, 4, 3, 0 6.3, 2.52, 3.15, 4.2 90.0% 90.0% 90.0% 90.0%
3c 2, 4, 4, 3, 0 5.8, 2.93, 2.93, 3.9 89.2% 90.0% 90.0% 90.0%
5c 2, 3, 4, 3, 0 5.4, 3.6, 2.7, 3.6 90.0% 90.0% 90.0% 90.0%
Ad 2, 3, 3, 3, 0 4.95, 3.3, 3.3, 3.3 90.0% 90.0% 90.0% 90.0%
Kc 2, 2, 3, 3, 0 4.5, 4.5, 3, 3 90.0% 90.0% 90.0% 90.0%
4h 2, 2, 3, 2, 0 4.05, 4.05, 2.7, 4.05 90.0% 90.0% 90.0% 90.0%
6h 2, 2, 3, 1, 0 3.6, 3.6, 2.4, 7.2 90.0% 90.0% 90.0% 90.0%
Kh 2, 2, 3, 0, 0 3.15, 3.15, 2.1, 0 90.0% 90.0% 90.0%
3s 1, 2, 3, 0, 0 5.4, 2.7, 1.8, 0 90.0% 90.0% 90.0%
As 0, 2, 3, 0, 0 0, 2.25, 1.5, 0 90.0% 90.0%
9c 0, 1, 3, 0, 0 0, 3.6, 1.2, 0 90.0% 90.0%

Color Analysis

The subsequent table demonstrates, using a sample shoe, the last card that was played as well as data for both colors:

  • Number remaining
  • Probability
  • Pays
  • Expected return

The two return columns confirm that the game accurately calibrates odds to achieve a consistent 90% payout.

Suit Bets

Last
Card
Played
Red
Cards
Left
Black
Cards
Left
Prob.
Red
Prob.
Black
Red
Pays
Black
Pays
Red
Return
Black
Return
2c 27 26 50.9% 49.1% 1.766 1.834 89.97% 89.97%
4s 27 25 51.9% 48.1% 1.733 1.872 89.98% 90.00%
2s 27 24 52.9% 47.1% 1.700 1.912 90.00% 89.98%
7h 26 24 52.0% 48.0% 1.730 1.875 89.96% 90.00%
3h 25 24 51.0% 49.0% 1.764 1.837 90.00% 89.98%
Ah 24 24 50.0% 50.0% 1.800 1.800 90.00% 90.00%
Qh 23 24 48.9% 51.1% 1.839 1.762 89.99% 89.97%
10c 23 23 50.0% 50.0% 1.800 1.800 90.00% 90.00%
Jh 22 23 48.9% 51.1% 1.840 1.760 89.96% 89.96%
9s 22 22 50.0% 50.0% 1.800 1.800 90.00% 90.00%
10s 22 21 51.2% 48.8% 1.759 1.842 90.00% 89.96%
Jc 22 20 52.4% 47.6% 1.718 1.890 89.99% 90.00%
10d 21 20 51.2% 48.8% 1.757 1.845 89.99% 90.00%
8c 21 19 52.5% 47.5% 1.714 1.894 89.99% 89.97%
7s 21 18 53.8% 46.2% 1.671 1.950 89.98% 90.00%
BJ 21 17 55.3% 44.7% 1.628 2.011 89.97% 89.97%
10h 20 17 54.1% 45.9% 1.665 1.958 90.00% 89.96%
8d 19 17 52.8% 47.2% 1.705 1.905 89.99% 89.96%
5s 19 16 54.3% 45.7% 1.657 1.968 89.95% 89.97%
4c 19 15 55.9% 44.1% 1.610 2.040 89.97% 90.00%
3d 18 15 54.5% 45.5% 1.650 1.980 90.00% 90.00%
Jd 17 15 53.1% 46.9% 1.694 1.920 89.99% 90.00%
5h 16 15 51.6% 48.4% 1.743 1.860 89.96% 90.00%
2h 15 15 50.0% 50.0% 1.800 1.800 90.00% 90.00%
9h 14 15 48.3% 51.7% 1.864 1.740 89.99% 90.00%
5d 13 15 46.4% 53.6% 1.938 1.680 89.98% 90.00%
Qs 13 14 48.1% 51.9% 1.869 1.735 89.99% 89.96%
Qc 13 13 50.0% 50.0% 1.800 1.800 90.00% 90.00%
Ks 13 12 52.0% 48.0% 1.730 1.875 89.96% 90.00%
Ac 13 11 54.2% 45.8% 1.661 1.963 89.97% 89.97%
6c 13 10 56.5% 43.5% 1.592 2.070 89.98% 90.00%
6s 13 9 59.1% 40.9% 1.523 2.200 90.00% 90.00%
2d 12 9 57.1% 42.9% 1.575 2.100 90.00% 90.00%
Js 12 8 60.0% 40.0% 1.500 2.250 90.00% 90.00%
9d 11 8 57.9% 42.1% 1.554 2.137 89.97% 89.98%
8h 10 8 55.6% 44.4% 1.620 2.025 90.00% 90.00%
RJ 9 8 52.9% 47.1% 1.700 1.912 90.00% 89.98%
8s 9 7 56.3% 43.8% 1.600 2.057 90.00% 89.99%
4d 8 7 53.3% 46.7% 1.687 1.928 89.97% 89.97%
Qd 7 7 50.0% 50.0% 1.800 1.800 90.00% 90.00%
3c 7 6 53.8% 46.2% 1.671 1.950 89.98% 90.00%
5c 7 5 58.3% 41.7% 1.542 2.160 89.95% 90.00%
Ad 6 5 54.5% 45.5% 1.650 1.980 90.00% 90.00%
Kc 6 4 60.0% 40.0% 1.500 2.250 90.00% 90.00%
4h 5 4 55.6% 44.4% 1.620 2.025 90.00% 90.00%
6h 4 4 50.0% 50.0% 1.800 1.800 90.00% 90.00%
Kh 3 4 42.9% 57.1% 2.100 1.575 90.00% 90.00%
3s 3 3 50.0% 50.0% 1.800 1.800 90.00% 90.00%
As 3 2 60.0% 40.0% 1.500 2.250 90.00% 90.00%
9c 3 1 75.0% 25.0% 1.200 3.600 90.00% 90.00%

Number Bets

The following table presents an example where the last card played is shown, along with data for both numbered cards (2-10) and face cards (including aces and jokers):

  • Number remaining
  • Probability
  • Pays
  • Expected return

The two return columns confirm that the game accurately calibrates odds to achieve a consistent 90% payout.

Suit Bets

Last
Card
Played
Numbers
Left
Non-Numbers
Left
Prob.
Number
Prob.
Non-Number
Number
Pays
Non-Number
Pays
Number
Return
Non-Number
Return
2c 35 18 66.0% 34.0% 1.362 2.650 89.94% 90.00%
4s 34 18 65.4% 34.6% 1.376 2.600 89.97% 90.00%
2s 33 18 64.7% 35.3% 1.390 2.550 89.94% 90.00%
7h 32 18 64.0% 36.0% 1.406 2.500 89.98% 90.00%
3h 31 18 63.3% 36.7% 1.422 2.450 89.96% 90.00%
Ah 31 17 64.6% 35.4% 1.393 2.541 89.96% 89.99%
Qh 31 16 66.0% 34.0% 1.364 2.643 89.97% 89.97%
10c 30 16 65.2% 34.8% 1.380 2.587 90.00% 89.98%
Jh 30 15 66.7% 33.3% 1.350 2.700 90.00% 90.00%
9s 29 15 65.9% 34.1% 1.365 2.640 89.97% 90.00%
10s 28 15 65.1% 34.9% 1.382 2.580 89.99% 90.00%
Jc 28 14 66.7% 33.3% 1.350 2.700 90.00% 90.00%
10d 27 14 65.9% 34.1% 1.366 2.635 89.96% 89.98%
8c 26 14 65.0% 35.0% 1.384 2.571 89.96% 89.99%
7s 25 14 64.1% 35.9% 1.404 2.507 90.00% 89.99%
BJ 25 13 65.8% 34.2% 1.368 2.630 90.00% 89.97%
10h 24 13 64.9% 35.1% 1.387 2.561 89.97% 89.98%
8d 23 13 63.9% 36.1% 1.408 2.492 89.96% 89.99%
5s 22 13 62.9% 37.1% 1.431 2.423 89.95% 90.00%
4c 21 13 61.8% 38.2% 1.457 2.353 89.99% 89.97%
3d 20 13 60.6% 39.4% 1.485 2.284 90.00% 89.98%
Jd 20 12 62.5% 37.5% 1.440 2.400 90.00% 90.00%
5h 19 12 61.3% 38.7% 1.468 2.325 89.97% 90.00%
2h 18 12 60.0% 40.0% 1.500 2.250 90.00% 90.00%
9h 17 12 58.6% 41.4% 1.535 2.175 89.98% 90.00%
5d 16 12 57.1% 42.9% 1.575 2.100 90.00% 90.00%
Qs 16 11 59.3% 40.7% 1.518 2.209 89.96% 90.00%
Qc 16 10 61.5% 38.5% 1.462 2.340 89.97% 90.00%
Ks 16 9 64.0% 36.0% 1.406 2.500 89.98% 90.00%
Ac 16 8 66.7% 33.3% 1.350 2.700 90.00% 90.00%
6c 15 8 65.2% 34.8% 1.380 2.587 90.00% 89.98%
6s 14 8 63.6% 36.4% 1.414 2.475 89.98% 90.00%
2d 13 8 61.9% 38.1% 1.453 2.362 89.95% 89.98%
Js 13 7 65.0% 35.0% 1.384 2.571 89.96% 89.99%
9d 12 7 63.2% 36.8% 1.425 2.442 90.00% 89.97%
8h 11 7 61.1% 38.9% 1.472 2.314 89.96% 89.99%
RJ 11 6 64.7% 35.3% 1.390 2.550 89.94% 90.00%
8s 10 6 62.5% 37.5% 1.440 2.400 90.00% 90.00%
4d 9 6 60.0% 40.0% 1.500 2.250 90.00% 90.00%
Qd 9 5 64.3% 35.7% 1.400 2.520 90.00% 90.00%
3c 8 5 61.5% 38.5% 1.462 2.340 89.97% 90.00%
5c 7 5 58.3% 41.7% 1.542 2.160 89.95% 90.00%
Ad 7 4 63.6% 36.4% 1.414 2.475 89.98% 90.00%
Kc 7 3 70.0% 30.0% 1.285 3.000 89.95% 90.00%
4h 6 3 66.7% 33.3% 1.350 2.700 90.00% 90.00%
6h 5 3 62.5% 37.5% 1.440 2.400 90.00% 90.00%
Kh 5 2 71.4% 28.6% 1.260 3.150 90.00% 90.00%
3s 4 2 66.7% 33.3% 1.350 2.700 90.00% 90.00%
As 4 1 80.0% 20.0% 1.125 4.500 90.00% 90.00%
9c 3 1 75.0% 25.0% 1.200 3.600 90.00% 90.00%
7c 2 1 66.7% 33.3% 1.350 2.700 90.00% 90.00%
7d 1 1 50.0% 50.0% 1.800 1.800 90.00% 90.00%

Rank and Single Card Analysis

This table details the winning payouts for bets on a single card and across any rank relative to the number of cards remaining in those ranks (from 1 to 4). The winning payout for one card consistently matches that of betting on an individual card. The four columns on the right indicate the expected returns according to how many winning cards are still present.

Rank and Single Card Analysis

Cards Left 1 Winning
Card Pays
2 Winning
Cards Pay
3 Winning
Cards Pay
4 Winning
Cards Pay
1 Winning
Card Ret.
2 Winning
Cards Ret.
3 Winning
Cards Ret.
4 Winning
Cards Ret.
53 45 15 11 84.91% 84.91% 83.02%
52 45 20 15 11 86.54% 76.92% 86.54% 84.62%
51 45 20 15 11 88.24% 78.43% 88.24% 86.27%
50 45 20 15 11 90.00% 80.00% 90.00% 88.00%
49 40 20 14 11 81.63% 81.63% 85.71% 89.80%
48 40 20 14 10 83.33% 83.33% 87.50% 83.33%
47 40 20 14 10 85.11% 85.11% 89.36% 85.11%
46 40 20 13 10 86.96% 86.96% 84.78% 86.96%
45 40 20 13 10 88.89% 88.89% 86.67% 88.89%
44 35 19 13 9.9 79.55% 86.36% 88.64% 90.00%
43 35 19 12 9.6 81.40% 88.37% 83.72% 89.30%
42 35 18 12 9.4 83.33% 85.71% 85.71% 89.52%
41 35 18 12 9.2 85.37% 87.80% 87.80% 89.76%
40 35 18 12 9 87.50% 90.00% 90.00% 90.00%
39 35 17 11 8.7 89.74% 87.18% 84.62% 89.23%
38 30 17 11 8.5 78.95% 89.47% 86.84% 89.47%
37 30 16 11 8.3 81.08% 86.49% 89.19% 89.73%
36 30 16 10 8.1 83.33% 88.89% 83.33% 90.00%
35 30 15 10 7.8 85.71% 85.71% 85.71% 89.14%
34 30 15 10 7.6 88.24% 88.24% 88.24% 89.41%
33 25 14 9.9 7.4 75.76% 84.85% 90.00% 89.70%
32 25 14 9.6 7.2 78.13% 87.50% 90.00% 90.00%
31 25 13 9.3 6.9 80.65% 83.87% 90.00% 89.03%
30 25 13 9 6.7 83.33% 86.67% 90.00% 89.33%
29 25 13 8.7 6.5 86.21% 89.66% 90.00% 89.66%
28 25 12 8.4 6.3 89.29% 85.71% 90.00% 90.00%
27 20 12 8.1 6 74.07% 88.89% 90.00% 88.89%
26 20 11 7.8 5.8 76.92% 84.62% 90.00% 89.23%
25 20 11 7.5 5.6 80.00% 88.00% 90.00% 89.60%
24 20 10 7.2 5.4 83.33% 83.33% 90.00% 90.00%
23 20 10 6.9 5.1 86.96% 86.96% 90.00% 88.70%
22 19 9.9 6.6 4.95 86.36% 90.00% 90.00% 90.00%
21 18 9.4 6.3 4.72 85.71% 89.52% 90.00% 89.90%
20 18 9 6 4.5 90.00% 90.00% 90.00% 90.00%
19 17 8.5 5.7 4.27 89.47% 89.47% 90.00% 89.89%
18 16 8.1 5.4 4.05 88.89% 90.00% 90.00% 90.00%
17 15 7.6 5.1 3.82 88.24% 89.41% 90.00% 89.88%
16 14 7.2 4.8 3.6 87.50% 90.00% 90.00% 90.00%
15 13 6.7 4.5 3.37 86.67% 89.33% 90.00% 89.87%
14 12 6.3 4.2 3.15 85.71% 90.00% 90.00% 90.00%
13 11 5.8 3.9 2.92 84.62% 89.23% 90.00% 89.85%
12 10 5.4 3.6 2.7 83.33% 90.00% 90.00% 90.00%
11 9.9 4.95 3.3 2.47 90.00% 90.00% 90.00% 89.82%
10 9 4.5 3 2.25 90.00% 90.00% 90.00% 90.00%
9 8.1 4.05 2.7 2.02 90.00% 90.00% 90.00% 89.78%
8 7.2 3.6 2.4 1.8 90.00% 90.00% 90.00% 90.00%
7 6.3 3.15 2.1 1.57 90.00% 90.00% 90.00% 89.71%
6 5.4 2.7 1.8 1.35 90.00% 90.00% 90.00% 90.00%
5 4.5 2.25 1.5 1.12 90.00% 90.00% 90.00% 89.60%
4 3.6 1.8 1.2 0 90.00% 90.00% 90.00%
3 2.7 1.35 0 90.00% 90.00%
2 1.8 0 90.00%

External Links

Watch 21 Bet in demo mode at TvBet .