Ask the Wizard #190

You’re welcome. Thanks for the kind words. In my experience, most players make proposition bets for the dealers. For example, a "two way yo" bet is split 50/50 between the player and dealers. To make this bet, a player will hand or toss the bet to one of the dealers and say "two way yo." However, all the proposition bets are sucker bets, which will cut down the value of the tip by up to 16.7%. As you said, I prefer to give the dealer the tip directly, as opposed to betting it. Before a come out roll I will try to get a dealer’s attention and then put the tip in front of him, saying "for the dealers." I don’t like making pass line tips for the dealers, because I’ve been goaded into tipping extra on the odds, which was more than I intended to offer. If you must make a bet for the dealers, I would put it on the field, saying loudly "dealers in the field."

To answer your second question, dealers are only obligated to share cash tips. Anything else they may keep for themselves. I asked about this at the Venetian and the floorman said dealers may accept personal gifts up to $100 in value. Acceptable gifts can be things with a close to cash value, including gift certificates and unresolved sports tickets. It was quietly added that if a player gave a dealer an envelope, nobody other than the player and dealer would ever have to know what was in it. Should you decide to give a specific dealer a tip I would suggest being discreet about it, putting it in an envelope, and away from the table.

For large numbers of throws we can use the Gaussian Curve approximation. The expected number of sevens in 655 throws is 655 × (1/6) = 109.1667. The variance is 655 × (1/6) × (5/6) = 90.9722. The standard deviation is sqr(90.9722) = 9.5379. Your 78 sevens is 109.1667 − 78 = 31.1667 less than expectation. This is (31.1667 - 0.5)/9.5379 = 3.22 standard deviations below expectation. The probability of falling 3.22 or more standard deviations south of expectations is 0.000641, or 1 in 1,560. I got this figure in Excel, using the formula, normsdist(-3.22).

You’re welcome. That is a damn clever game. Basically, the player plays conventional Texas Hold’em against two bots, except there is no betting after the river. In the player’s favor is being last to act. In the casino’s favor is that the two bots are colluding. Basically, the bot with the weaker hand will fold, and the player will be left to play against only the stronger bot. I haven’t analyzed this game yet, so I’m afraid you’re on your own.

Thank you for this information. It is good to know there is at least one normal blackjack game in Finland.

Thanks, I stand corrected. I thought I heard somewhere that the first hand to the right would get paid first, because the dealer pays from the right. However your rationale makes sense too.