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Hi-Lo Premium

Introduction

Hi-Lo Premium is an easy-to-understand game that involves drawing a single card from a set of 12 cards. Players can make various types of bets, including guessing if the next card drawn will be higher or lower than the last one.

Rules

  1. The following 12 cards are used:
    • Hearts: 2, 6, J
    • Spades: 3, 7, Q
    • Diamonds: 4, 8, K
    • Clubs: 5, 9, A

  2. Here's a breakdown of available bets and their associated payouts. All payouts are indicated as 'per single bet'.
    • Snap (same card as previous card): 11.7
    • Ace of clubs: 11.7
    • Any black: 1.95
    • Face card: 2.92
    • Ace or king: 5.85
    • Any red: 1.95
    • 2 to 9: 1.46
    • Under: Varies
    • Over: Varies



  3. The payouts for the Under and Over bets are determined by comparing them with the previously drawn card. The specifics of the payouts are influenced directly by what the last card was, as outlined below:
    • Lower 3/Higher K: 11.69
    • Lower 4/Higher Q: 5.84
    • Lower 5/Higher J: 3.90
    • Lower 6/Higher 9: 2.92
    • Lower 7/Higher 8: 2.33
    • Lower 8/Higher 7: 1.93
    • Lower 9/Higher 6: 1.67
    • Lower J/Higher 5: 1.45
    • Lower Q/Higher 4: 1.30
    • Lower K/Higher 3: 1.17

  4. If the same card appears again as the last one, the Lower and Higher bets will lose. Players must note that they cannot place bets lower than a 2 or higher than an Ace, as it would affect their winning chances.
  5. Once a player has placed a bet, a card will be randomly selected from the 12 available, which may even include the card that won previously.
  6. It appears that any winnings are rounded down to the nearest cent.
  7. The amount wagered, or stake, will automatically set to the amount won from the prior bet, or become zero if the player lost. Players have the option to 'save some' of their winnings or cash out entirely if they prefer not to risk too much on the next round. Additionally, players can make use of the 'stake up' and 'stake down' features to modify their bet for the upcoming card.

Analysis

The table below displays the odds of winning and the anticipated returns for all betting options, excluding the Lower and Higher bets.

Evaluation of Betting Options other than Lower and Higher

Bet Pays Probability Return
Snap (same card as previous card) 11.7 0.083333 0.975000
Ace of clubs 11.7 0.083333 0.975000
Any black 1.95 0.500000 0.975000
Face card 2.92 0.333333 0.973333
Ace or king 5.85 0.166667 0.975000
Any red 1.95 0.500000 0.975000
2 to 9 1.46 0.666667 0.973333

Below is the equivalent table for the Lower and Higher betting options.

Analysis of Lower and Higher Bets

Bet Pays Probability Return
Lower 3/Higher K 11.7 0.083333 0.975000
Lower 4/Higher Q 5.85 0.166667 0.975000
Lower 5/Higher J 3.9 0.250000 0.975000
Lower 6/Higher 9 2.92 0.333333 0.973333
Lower 7/Higher 8 2.33 0.416667 0.970833
Lower 8/Higher 7 1.95 0.500000 0.975000
Lower 9/Higher 6 1.67 0.583333 0.974167
Lower J/Higher 5 1.46 0.666667 0.973333
Lower Q/Higher 4 1.3 0.750000 0.975000
Lower K/Higher 3 1.17 0.833333 0.975000

Strategy

With a top return of 97.5% for this game, it's advisable to focus on the bets that offer that level of return. Be meticulous when selecting your bets and wager amounts to ensure that any winnings are not subjected to rounding down.