32519, on 2012-March-30, 00:42, said:
Partner and I were playing a very basic version of Puppet Stayman which concentrated on the majors (little effort was made to include minor suit orientated hands from responder).
This thread was started when we started asking “why all this PS fuss?” The times when either of us held a 5332 20-21 HCP hand was seldom. More often than not we ended up playing in a 4-4 major suit fit, or a 5-3 major suit fit with responder holding the 5-card suit not the opener. We got there via Jacoby transfer bids.
So I looked up the frequency of occurrence of typical 20-21 HCP NT hands. This is what I found: The probability of being dealt –
1. 5332 and 20-21 HCP = 0.08% (5-card major, minor 5-card suits excluded)
2. 4432 and 20-21 HCP = 0.08%
3. 4333 and 20-21 HCP = 0.12%
...Total.........................= 0.28%
The probability of being dealt a bust –
1. 4450 and 0-4 HCP = 0.01% Club shortness (losing Garbage Stayman)
2. 4441 and 0-4 HCP = 0.07% Club shortness (losing Garbage Stayman)
3. 4405 and 0-4 HCP = 0.01% Diamond shortness (losing Crawling Stayman)
4. 4414 and 0-4 HCP = 0.07% Diamond shortness (losing Crawling Stayman)
5. 4423 and 0-4 HCP = 0.17% Diamond shortness (losing Crawling Stayman)
...Total.....................= 0.33%
Less benefit of 5332..= (0.08%)
Net benefit/loss.........= 0.25%
Having no mechanism to improve the auction when responder has a bust, we were in a net loss situation.
Seeing the numbers, partner and I decided to dump PS. The majority of the face-to-face bridge we play is match points. The decision to dump PS became even easier when we were getting a top score in 3NT making 10 tricks when the rest of the field were making 10 tricks in a major.
I respect your decision for playing PS. I’m just saying why I dumped it.
I have some doubts about the efficacy of puppet Stayman. However, like many posters, I find the way you argue the case against is particularly unconvincing. The post on frequencies above is a case in point.
I will leave aside the probabilities you gave on getting 0-4 HCP opposite a balanced 20-21 which I think are wrong. More importantly, they are meaningless. If you want to do figures to compare frequency of opportunity to do garbage or crawling stayman against opening 2NT with a 5 card major 5332, then you should compare proportions.
So the proportion of hands 5 card major 5332's compared with all other balanced hands is about 7.7%.
Now looking at the possible Garbage and Crawling Stayman hands you have given, we have to assume that they will be the same relative frequency opposite a 2NT opening bid as they would be with with unknown other hands. This should be roughly true. Then proportion of:
5440's with club or diamond shortages = 0.24%
4441's with club or diamond shortage = 1.5%
4432's with majors = 3.6%
Thus 5.3% of all distributions are suitable for G or S Stayman.
So with your logic (which of course I don't accept anyway) the benefit of using Puppet is 7.7%- 5.5% = plus 2.2%