JQT says: I know this is a bit lengthy, but hey, it's already the afternoon, and Halscrib has spoken, so let me offer my very strong opinion on just one factor regarding today and yesterday and how I believe one should FOCUS one's energy when studying this Grand Game of Cribbage: Here is where a very discernible view of the probabilistic nature of Cribbage rears its head. If we are to assume that the number-crunching ability of the computer was accurate both yesterday and today (I have no problems doing this, as these are both games that are either on First or Second Street), then yesterday, it was wrong to Keep (4 4 5 5), and today, it was wrong to retain the FLUSH. But the difference yesterday between the Top Choice of Keep (2 4 4 5) and that Wrong Choice of Keep (4 4 5 5) is precisely 2.18 Points; meanwhile, the difference today between the Top Choice of Keep (4 5 6 K) and that Wrong Choice of Keep (Ac 4c 6c Kc) and Toss (2 5) is precisely 0.37 Points. Therefore, if let's say we encoded two side-by-side slot machines with an algorithm using these two different puzzles, and also encoded each point to be worth a dollar, then each "pull" of today's "wrong" choice would "cost" us around Thirty-Seven Cents, with every "pull" of yesterday's "wrong" choice would set up back Two Dollars and Eighteen Cents, or nearly SIX TIMES as much! And so while it's fun to compare this wonderful 4-5-6 RUN with the FLUSH, an error today might save us a Quarter and a Dime and Two Pennies (or about one-third of a Dollar, or 0.37 Points, you get the picture), while yesterday's mistake is costing us Two Bucks and Change (or nearly Two and a Quarter Points)! And yet we'll easily prefer to debate today's possibly "prettier" puzzle much more readily (and here I am doing so myself) than look at yesterday's perhaps seemingly simpler puzzle. But for SIX TIMES the gain, it should be obvious which discarding decision should get more of our attention. This does NOT in any way mean to diminish today's puzzle over yesterday's puzzle: they are both very good puzzles. I only am attempting to draw some focus of the need for which particular 4-5-6 "pattern" (or possible pattern) we are likely to misread and suffer the worse the ramifications to because of the complexity of the probabilities involved. I see this happen all the time in the arena of financial investing, where people will argue the nuances of some Penny Stocks or some 'about-to-go-bankrupt' Company, and meanwhile they ignore the fact that nearly half a dozen other companies are now, or soon will be, valued at over a Trillion Dollars. It's human nature to "fuss over tiny details" while decisions that often have huge implications go entirely unnoticed. With only so much time and energy to study, it's best to expend such time and energy where it can reap the most reward for us, so try not to be 'drawn in' by the "fancy lights" of the slot machines in life; and in Cribbage, this translates very often to NOT becoming too obsessed with these chances to "become rich" with such handsome-looking 4-5-6 Hands!