1. I agree with mikeh that you should bid, though what you should bid is another matter... my partner after the event (who held this hand) said he thinks he should bid 5NT to offer me choice of slams. After all, he couldn't have better hearts given the auction... he was worried that we weren't on the same page about the auction, as the 3NT bid had never come up at the table before although it's in the system file.
Partner has K 1087xxx Kx KJ9x and 6NT is very slightly better than 6H, though both make with hearts 3-2. This board was flat in 4H+2.
2.
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Again, I bid.. but it is not, to me, as clear as the first example. I would also like to know how/whether partner could agree on S without forcing.... at the stage that he bid 4S, could he sign-off? .... if so, then 4S is a slam try and I have to move...if 4S is devoid of information re slam suitability, then I am really guessing.....
At the point when he made a positive response to 2C, you become forced to 4NT unless you agreed a major at the 3-level and signed off, so (in effect) the 3H bid forced to 4NT.
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I think I will bid 5N anyway... if he has, for example, xx KQJ9xx Qx xxx makes it an okay 6S, while improve the hand slightly (give him the S10, for example...) the contract goes from okay to good to great, depending.
give him 10x KQJ9xx Qx xxx and you want to play in 7NT.
I bid 6H rather than 5NT in case he had this hand, and he bid 6S (could 5NT have been AKQJxx 10 AKxx AK or similar?). He has a fairly horrible collection:
xx
KJ9xxx
Jx
Kxx
even opposite this, I make slam fractionally over 50% (clubs 3-3 or short HQ is better odds than the various possible squeezes). Clubs were 3-3 so it made.
P P 2NT P
3♦ P 3NT P
4♣ P 4♦ P
4♥ P ?