This was a local club team match in which one of my team members is a Welsh international. He said he would pass 1NT. I can construct 14 point hands and 13 point hands with a 5-card club suit where 3NT is a good contract, but I am willing to believe that there are at least twice as many hands with equal strength where 3NT has very little hope of making. My question is:
How do you value a 4333 hand with AK +A and nothing else? How many 10's and 9's would I need before this balanced 11 was good for 3NT opposite 14 or a good 13? Have any simulations been done? Have any experts got a ready formula for this evaluation?
Thanks

Help

Bidding:
1♣ p 1♥ p
1NT p ?
The 1NT rebid shows 12-14 points
For me the lure of a vulnerable game was too much of a temptation, so I tried 2NT, partner 3♥ with a balanced 13, and we ended the auction in 3NT. This went one down.