Granted there are a few different ways to use a bit of strategy in this game, however I also believe those methods can also easily fail a person depending on how the game board is set up.
One common strategy that floats around here is to purposely get the first number wrong, with the hope of getting one of the other four numbers correct on the first round. While the likelihood of getting one of the four remaining correct is fairly good, the chance of getting them all wrong is just as likely. Let's take for example a fictional winning price of $21,358. If a person were to purposely place the wrong number in the first position and then hope to correctly pick the second number, which has a 1 in 3 odds, it could be a sound move. However, if the second number has an tight range of numbers (such as 0, 1, 3), and the contestant chooses incorrectly, the game could end right there. The getting the first number right in the first round guarantees there will be a second round of play, and in the second round the odds of getting the second number correct (presuming that it was incorrect in the first round) becomes 50/50.
The contestant in the April 25th playing didn't appear to be consciously using a particular form of strategy, as she seemed to be relying on the audience more than her own intuition. Nonetheless, the way she chose her guesses ended up working perfectly for her.
Comparing the game play of Cover Up to 10 Chances is uneven in my opinion. As most avid viewers know, the long standing "unwritten" rule in Ten Chances is that the last number in the prices is 0. Generally, this rule applies to all three prizes in the game, and if the player is aware of this, it should be fairly easy to win the first two prizes in 5 guesses or less. Again, presuming that the numbers in the price of the car are not set up to make the guesses difficult, winning the car should be fairly easy with the remaining chances. From this prospective, I believe winning at Ten Chances is much easier than winning at Cover Up (which is probably why we see more of Cover Up these days than Ten Chances).