The Law of Total Tricks is really nothing new. It is the only
subject of two excellent books by
Larry Cohen entitled, "To Bid or Not to Bid - The Law of
Total Tricks" followed by its sequel,
"Following the Law." However, the idea was first presented
in this country in a 1969 article in The
Bridge World by an unknown author, Jean Vernes. Three decades
later, the concept of the 'law' is
endorsed worldwide.
Its application becomes most apparent during the course of
preemptive or competitive bidding.
Cohen states in his books that "the total number of tricks
available on any deal is approximately
equal to the total number of trumps."
Practically, it simply says that you should always bid to
the level equal to the combined number of
trumps held by your side. Let me also add that if N-S has an
8-card spade fit and E-W has an
8-card heart fit, there should be 16 available tricks. With an
approximate equality of high-card
strength, both sides should be able to fulfill their contract
at the two-level. So it behooves both
sides to force their opponents to the three-level for a minus
score.
Shall we see if this really works in real life? Assume you
pick up a hand with seven hearts. With a
weak hand you probably will open the bidding with a preemptive
three hearts. There are six hearts
remaining in the other three hands. Should they be divided equally,
each player would hold two
hearts. Thus, you and partner share nine trumps. Go with a nine
trump and you have contracted to
bring home nine tricks. The law worked.
Let us take another example for those who open weak two-bids.
For those not accustomed to
opening a weak (preemptive) two-bid, the requirements are similar
to a three-bid preempt except
that you hold six cards in a particular suit and about 5-10 points.
Say you open two spades. Seven
spades are outstanding, and if divided equally among the other
three players, each would hold
two-and-a-third of the suit. Once again six plus two equals eight.
Success! The law worked.
It's becoming common practice for many experts to open a weak
two-bid with only five cards in
the proposed trump suit (KQJ43 or better, or else). Should this
occur, there would be eight trumps
left to be divided among the other three hands. Eight divided
by three equals two- and-two-thirds.
Adding that figure to five, we arrive at a total of seven-and-two-thirds.
That's close enough to the
eight tricks needed to make our contract. So a five trump weak
two-bid, especially non-vulnerable,
is a viable undertaking.
The responder also uses the law to his advantage by raising
partner's preempt by adding the
number of trumps he truly holds to opener's count. If you, as
responder, hold three trumps you
may raise partner's two or three bid to another level as you
are only expected to be holding two
trump. When partner makes a weak jump overcall, a common match
point bid holding a six card
suit and less than six points, you may raise his call a level
if you have three cards in his suit, as
once again he only counts on you for a two-card holding.
A preemptive bid is a gambling bid. You are betting that by
competing against the opponents your
minus score, when you have been set, will be less than the opponents
plus score should they win
the auction.
Your action is also predicated on the vulnerability of the
two sides. There is a common expression
in the bridge world that 'the five-level is for the opponents.'
It's generally a pretty fair guide, my
friend, to prevent you from going overboard.
Unfortunately this article is far too condensed to fairly
evaluate "The Law of Total Tricks."
Adjustments must be made, for example, when you and partner have
a double fit or you have too
many hcps in the opponent's suit. Adjustments are not violations
but should be treated as
exceptions.
Cohen and his favorite partner, Marty Bergen, discovered by
researching tournament deals that not
only has there been a tremendous increase in the frequency of
the preemptive bid, but with the
newfound knowledge of the law, the success ratio is about 65
percent. Aggressive bidding is a
proven winner. When you decide to take action, use discipline
and remember to obey the law.