I hope you all had a great labor day weekend! Time to get those brains warmed up.
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Question
Alice and Bob play a game. Starting with Alice, they alternate in selecting digits for a 6-digit decimal number UVWXYZ that they construct from left to right. Alice chooses U, then Bob chooses V, then Alice chooses W, and so on. No digit can be repeated. Alice wins if UVWXYZ is not a prime. Can Alice always win?
Good Luck!
I haven't come up with an answer, but you can't assume that bob chooses 0 for the first two. Your theory wouldn't work if he were to select numbers such as 7, 2, 1 giving 979291 which is prime.
no digit can be repeated so 979291 would't ever be an option
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