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StrategyMatch-Play Chips If restricted to even money bets, the player will get the most value betting match-play chips on the player bet in baccarat, at 47.95% of face value. If unrestricted, the player should make a long-shot wager, preferably on a single number in roulette. Promotional Chips If restricted to even money bets, the player will get the most value betting promotional chips in blackjack, at 51.2% of face value, give or take depending on the table rules. If unrestricted, the player should make a long-shot wager, preferably on a single number in roulette. The following basic strategy table is for promotional chips, under the rules above. If the player is faced with a real money only decision, as a result of splitting, he should revert to conventional basic strategy. The row for a soft 21 is for a 2-card soft 21 after splitting tens, not a blackjack.
![]() Non-Negotiable Chips Whether restricted or not, the player should bet these in blackjack, where the value is 99.6% of face value, give or take depending on the table rules. If restricted to baccarat, as is the case in Macau, they are best used on the banker bet. I have in-depth coverage of the non-negotiable chips in Macau on my companion site, wizardofmacau.com. Other CouponsFree Ace The free ace coupon may be used as an ace, in lieu of the first card dealt, in blackjack. According to my blackjack appendix 14, the expected value of an ace as the first card is 50.4% of the amount bet, assuming liberal six-deck rules (dealer stands on soft 17, double after split allowed, re-splitting aces allowed). These statistics are on a per hand basis, and include pushes. The probability of a push in blackjack is 8.5%. I have not calculated the conditional probability of a tie, given the first player card is an ace. Assuming the push probability is still 8.5%, and the player keeps the coupon on a push, the value of a free ace is 55.1% of face value, under the same liberal rule assumptions. First Winning Blackjack Pays 2 to 1 The probability of a winning blackjack is 4.53%, in a six-deck game. On average, they come along once in 22.06 hands. The house edge under liberal six-deck rules is 0.29%. So, the player can expect to lose 22.06 × 0.0029 = 0.064 bets waiting for a blackjack. The coupon obviously is worth half a bet. So, the value of a 2 to 1 blackjack coupon is 50% - 6.4% = 43.6% of the amount the player may bet per hand. First Winning Suited Blackjack Pays 3 to 1 The probability of a winning suited blackjack is 1.13%, in a six-deck game. On average, they come along once in 88.26 hands. The house edge under liberal six-deck rules is 0.29%. So, the player can expect to lose 88.26 × 0.0029 = 0.256 bets waiting for a suited blackjack. The coupon is worth 1.5 bets (the 3 to 1 payoff less the 1.5 you would get normally). So, the value of a 3 to 1 suited blackjack coupon is 1.5 – 0.256 = 1.244 bets, or 124.4% of the amount the player may bet.
Further ReadingFor an outstanding in-depth treatment of these and other types of chips and coupons, I highly recommend the 21-page paper Beyond Coupons (PDF) by James Grosjean. Grosjean and I have some disagreements about the strategy and value of the value of match play and promotional chips in blackjack. I have the greatest of respect for Grosjean, so I could be wrong about those.
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