Bob was playing a popular adventure game on his computer, and he came across a Mastermind minigame. Here's the results of his first four guesses:
Bob has never been great at solving logic puzzles on the spot, so he asked Alice what he should guess next. Alice is exceptionally good at logic puzzles, but has zero knowledge of video games or the context that this appeared in. Her response was "Well, that depends. If [...], then do this next: [...]. Otherwise, do this next: [...]"
What are the two different guessing strategies that Alice gave to Bob, and what condition did she give him to decide between them with?
- This is a completely standard game of Mastermind within the video game. There are no special rules.
- Black dots mean "right color, right place" and white dots mean "right color, wrong place".
- The six colors that Bob already used in guesses are the only colors available.
- This is not a lateral-thinking puzzle.
I came up with this puzzle myself.