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Blackjack brain teasers

Answers


Puzzle 1

A high stakes blackjack player is playing at a $500 minimum table in an Australian casino, just one box on his own.

His only information is from a simple plus - minus count.

During one hand he places an insurance bet on a negative count.

He is not playing for disguise.

Question: What circumstances could justify this play?

Answer:

Nearly at the end of the shoe the player might have, say, a 3% disadvantage.

He has 16 vs Ace.

He places a $1 insurance bet.

His chance of busting on 16 is over 50%; so is the chance of 'eating' an extra card (to be drawn by the dealer because of the insurance bet.)

Since a 3% disadvantage would mean a negative expectation of $15 per $500 bet (table minimum) each card 'eaten' would save over $2 in negative expectation, hence the $1 insurance bet would be justified.


Puzzle 2

A gambler walks into an Australian casino (no hole card, no surrender option) and plays one hand in one box, on his own.

He never bets less than $25 or more than $100.

Every play he makes is in units of $25, ie he might bet $50 but not $40.

Should there be a split, full or partial double and/or an insurance bet they would all be in $25 units or multiples.

He walked away after his one bet and rang a friend who knew exactly how he stakes his bets and advised him of the monetary result (how much he won or lost) of the hand.

From just that information the friend worked out the number of cards used in the hand.

Question: What was the monetary result of the hand and how many cards were used?

Answer:

He won $87.50 and 4 cards were used.

He bet $75 and got a blackjack versus dealer's Ace.

He insured for $25, an unconventional but legal play.

The dealer did not get blackjack, so he lost the $25 insurance bet but won $112.50, net result a win of $87.50.


 

 

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