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Fast Arrival and Serious/Frivolous 3NT

I'm a firm believer in Two over One (game forcing) and play it with some of my partners, but being based in the UK it's not so easy for me to keep up to date with current thinking associated with the system.

For me, a particular issue is: when a major suit has been agreed at the 3 level in a forcing situation, how does the partnership distinguish between slam tries based upon extra values and "courtesy" slam tries?  For example, consider the sequence 1-2-2-3.

More than one established writer has claimed that responder's 3 already shows extra values, since responder would use the Principle of Fast Arrival and bid 4 instead of 3 with a minimum hand.  But I agree with other authors, who say that the Principle of Fast Arrival shouldn't apply when the other hand is unlimited. 

I've read about the Serious 3NT bid, whereby the player would bid 3NT with extra values and make a cue bid with a suitable minimum.  To me, this is a great improvement on the Principle of Fast Arrival.

On the other hand, some authors seem to recommend the non-serious (or frivolous) 3NT bid, whereby 3NT shows a minimum and a cue bid would show extra values. 

I have three questions:

(1) Which do people consider better, the Serious 3NT or the Frivolous 3NT?

(2) Which approach is the more popular in the U.S. at present?

(3) Do many strong players use the Principle of Fast Arrival?  If not, why is it still being taught?

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