Right or wrong?

[kenberg]

Imps, partner and opponents are robots, nobody vul, three passes to you, you hold:

: J2
: 8
: A972
: AKQJ94

You start with 1 , 1 on your left, pass by partner, 2 on your right. Not a lot of highs, but  a pretty good hand so I bid 2 . The auction continues:



Pass    Pass    Pass    1
 1H     Pass   2      2
Pass    3    3      4
Pass    Pass   4    uh oh

My thinking: My hand has values playing in the minors, not much value on defense. Otoh, haven't I made that clear already, so maybe I can pass and leave this up to partner? So I passed and we defend 4 . Partner leads the 6.

Here is my hand again, now with dummy shown:


          6 is led

                                                            : AKT3
                                                            : A972
                                                            : T5
                                                            : 752



           : J2
           : 8
           : A972
           : AKQJ94

An interesting feature is that I still do not know if Pass was right or wrong. Partner would lead the 6 from T86 and he would lead the 6 from 63 and of course from a stiff 6. We would have been down at least one and perhaps exactly one, but perhaps more, in 5 . We will beat 4 , assuming we have two tricks coming,  if that 6 is either a stiff or 63, and we will be held to three tricks, so 4 makes,  if that 6 is from T86.

So: Would you have bid 5 before seeing the lead and the dummy, and after seeing the lead and the dummy would you wish you had bid 5 ? Do you think it is clear? Does it matter that this is imps? And does it matter that your partner and the opponents are bots? And anything else?

[kenberg]

Spoiler, I will now partially answer my own question.


The NS hands are

: 985
: J54
: KQ86
: T86


: J2
: 8
: A972
: AKQJ94

So yes, 4 !h is cold and 5 is off 1. 
To make it all worse, it does matter some that the opponents are bots. At one table S is in 5 and W led his stiff , after which there are 11 tricks. At another table, S opened 3NT, was raised to 4NT passed out, W, for reasons unknown, let a spot from Jxx instead of the K from KQTxx, after which ten tricks are there.

Would a human go on to 5 with the N hand? I don't know. But on the auction he cannot expect us to be taking many club tricks and at most two diamond tricks. Had he known his rho was going to lead a stiff against 5 no doubt he would have bid on!

We will put the blame on Mame and move on.

Added: I suppose if N bids over 4 it would be 5 rather than 5 .  But for both N and S it comes down to guessing whether EW can make 4 .