The context is this paragraph from my SAT & ACT Prep book on page 11.
"There is one thing to keep in mind: Pick one letter for the SAT or a two-letter combo for the ACT and stick to it throughout the test! For example, always choose (B) on the SAT or choose (A)/(F) or (C)/(H) on the ACT. Since both tests have a mostly-even distribution of answers, by maintaining a consistent guessing pattern, you have a much better chance of picking up a few free raw points than if you were to guess at random. And, let's be honest: if you find yourself running out of time, scoring a few extra points without even reading a question is pretty awesome."
This paragraph is discussing how you should answer when you can't properly answer a question with confidence. Their main claim is that you should pick one letter for guessing instead of randomly guessing because it gives more points. However, don't both of these situations yield the same result?
Let's say I put down (B) as an answer to an SAT question. I would have a 25% chance of getting it right, since each letter has an equal chance of being the right answer since there is no reason for any letter to appear more often than another, assuming the SAT answers are random.
However, if I were to guess randomly, there is a 25% chance that the letter I chose is right, no matter what letter it is. This is because there should be a uniform distribution of As, Bs, Cs, and Ds on the SATs, assuming that the answers are randomly generated, so all their probabilities are equal and 25% each.
Thus, isn't the book wrong that their strategy gives more correct answers? The only reason you would want to use their strategy is because it's much easier to write down (B) for all the answers quickly rather than trying to write down all the letters in a uniform random distribution.
The book is the 2nd edition of "Reading and Writing Prep for the SAT & ACT" created by The Princeton Review and Jonathan Chiu (hope that's proper attribution).
