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A bid of 4NT "invites" opener to: bid 6NT with a maximum holding of 14 HCP (19 + 14 = 33 which is sufficient) pass with a minimum 12 HCP (20+ 12 = only 32) with partnership agreement, bid 5NT holding 13 HCP - asking partner to bid 6NT with 20 HCP and to pass holding 19 HCP. An opening bid of 2NT shows 20, 21 or 22 HCP.
Strong notrump after passing (SNAP) is a bridge bidding convention originated by Jeremy Flint and Tony Priday [1] [2] and is a one notrump (1NT) bid by a passed hand in response to a one-level opening by his partner.
The next bid indicates suitability for slam: 3NT: strong (Serious 3NT) 4 ♣ /4 ♦ /4 ♥: cuebid, but not strong (non-serious). 4 ♠: truly minimum. Since Spades are the agreed trump suit, Three No Trump is not usually the best contract. Using Serious Three No Trump, a bid of Three No Trump says "I am Serious about slam", i.e. "I have a good ...
Cue bids are used to communicate specific controls (aces or voids, kings and singletons). Once a trump suit has been agreed and the two hands are considered to be strong enough, partners bid the lowest available suit which they control; this process continues until one of the partners has sufficient information to make the contract decision.
(The opening bid promised a minimum of 13, and responder's 10 or 11 points adds up to 23 or 24 points, very close to the 25 points needed to bid a major-suit or no-trump game.) Next priority is to bid the longest suit. Show 5-card support for partner's minor suit opening (4-card support is acceptable but not preferred) by responding 3 of the minor.
Strong hands, with 19 high card points plus, start with a double and then rebid 2 Notrump (or double) to try to expose a psychic bid. Good 4-4=4-1 distributional hands with a stiff minor suit can start with 2 ♣. Single-suited minor hands often start with double, hoping to be able to play at the two-level. These hands will pass a 2 ♦ asking bid.
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After a 1NT opening, a 2 ♠ response asks opener whether he is minimum or maximum for his bid. Opener responds 2NT with a minimum or at the three-level in his lowest four-card suit with a maximum. Responder may have one of two ranges: 11-12 points (looking for game in notrump) or 17-20 points (looking for slam in notrump or a minor suit).