Can I jump in with a quick math lesson? Unfortunately, it involves the difference between conditional and unconditional probabilities, so isn't exactly a trivial subject, although I think I can illustrate the point.
It is often said that it is difficult to beat a team four times in one season.
True statement.
Because people know this is true, if they see a team has beaten another team three times, they trot out the bromide suggesting that a fourth win will be very tough.
Not so true, it does not follow from the first statement.
One challenge is that the chance of winning is not 50%, and the chance of winning a game given that one team has won, is not the same as the chance before the first game was played. That part gets complicated, as it involves Bayesian statistics, and is far from trivial.
However, pretend for a second that the probability of winning any game is 50%.
What are the chances of a given team beating another four times?
I hope everyone can do that simple math and conclude the chances are one in 16, or about 6%.
This is (roughly) why people say it is hard to win four in a row. (The real probability is higher, but let's skip that for now.)
Here's the key question:
What are the chances of winning a fourth game, given that one team has won the first three?
The answer is 50%.
The error people make is thinking that if the chance is only 6% that four in a row can happen, that the odds must be low that a string of three will be followed by a fourth win.
Get out a coin, do some flips and you can verify the results.
Flip four in a row, see how often you get four heads.
It will happen about 6% of the time.
Now flip until you get three heads in a row (or keep track of your groups of four flips and find ones with three heads in a row). Flip a fourth time and half the time it will be heads, half tails.
As I said, the fact that real probabilities differ from 50% complicate the situation, but it goes against the trite wisdom. A team that beats another three times in a row is more likely to be the stronger team, and the odds (Baylor/TAMU and ND/CT notwithstanding) are better than 50% that the streak will continue.
There are legitimate reasons for being unhappy with a fourth Louisville/CT matchup, but the possibility that this decreases UConn's chance of winning is not one of them.