Know the Odds holdumb Ultimate Texas Hold'em

Six Card Bonus, progressives and Bad Beat

Lesson 20 of 23 · Perfect strategy III: fun per dollar · 7 min read

The bets the app doesn't deal, and what they cost.

Some UTH tables offer more side bets. The app doesn't deal them, but here's what they cost.

Six Card Bonus. It pays on the best five cards out of six: your two hole cards plus four more. The two example tables here are as reported by OnTheStrip and Vegas Aces; the second is the minimum table in the New Jersey regulation. On the common 1000/200/100/20/15/10/7 table (royal, straight flush, quads, full house, flush, straight, trips), the house edge is 8.56%. On a 1000/200/50/20/15/10/5 table it's 19.36%. A $5 Six Card bet costs about $12.84 an hour at the better table, about four and a half times what $5 on Trips costs.

Progressive jackpot. It's usually a $1 to $5 bet on your two hole cards plus the flop. It pays a share of a growing meter for a royal flush (100%) or straight flush (often 10%), and fixed amounts for smaller hands. These awards are paid "for 1": the casino keeps your $1, so a "$300" award is $299 profit. A royal in those five cards comes 1 time in 649,740. The royal flush (100%) and straight flush (10%) shares are as at Rivers Pittsburgh, and the example fixed awards follow a common Las Vegas rack card (Caesars). On one example $1 table (royal 100%, straight flush 10%, quads $300, full house $50, flush $40, straight $30, trips $9):

Meter House edge Cost per hour (30 hands)
$25,000 39.6% $11.89
$50,000 32.3% $9.70
$100,000 17.7% $5.31
≈ $160,531 0% (break-even) $0

Most meters sit far below break-even, so most progressives are among the most expensive bets in the casino. Their tables vary, so the app gives you the method, not one number.

Bad Beat. It pays when your hand loses at showdown even though it's strong. Exact chances per hand that your final hand is beaten by the dealer's:

Your losing hand Chance per hand
Three of a kind 1 in 87
Straight 1 in 304
Flush 1 in 286
Full house 1 in 659
Four of a kind 1 in 11,810
Straight flush 1 in 540,043

Bad Beat tables vary widely, and some also pay the dealer's hand or every player at the table. To price one, multiply each chance by its payout plus 1, add them up and subtract 1.

Show the math: Pricing any side bet

EV per $1 = Σ P(hand) × (payout + 1) − 1, where "payout" is "to 1". The probabilities come from exhaustive counts: 6-card hands (20,358,520 in all, e.g. 188 royals), 5-card hands (2,598,960, 4 royals) and, for Bad Beat, every showdown (2,781,381,002,400 player-dealer pairs).

Progressive example: fixed payouts return 0.5306 per $1, and each $1 of meter adds 19/6,497,400. Break-even meter = (1 − 0.5306) × 6,497,400 / 19 ≈ $160,531.

Quiz

Which of these usually costs the most per hour, $5 a hand?

  1. Trips (8-6-5)
  2. Six Card Bonus (1000/200/100/20/15/10/7)
  3. The Ante with perfect strategy
  4. They're about equal
Show the answer

B: Six Card Bonus (1000/200/100/20/15/10/7). About $12.84 an hour for Six Card, vs $2.86 for Trips and $3.28 for a $5 Ante played perfectly.

Quiz

Why are most progressive bets expensive?

  1. They pay on the dealer's hand
  2. Most of their value is in a jackpot you hit about once in 650,000 hands, and the meter is usually far below break-even
  3. They're only offered at high-limit tables
  4. They change the main game's strategy
Show the answer

B: Most of their value is in a jackpot you hit about once in 650,000 hands, and the meter is usually far below break-even. On the example table the bet breaks even only when the meter passes about $160,500.

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