Question 50
Alice and Bob determine a number with 2018 digits in the decimal system by choosing digits from left to right. Alice starts and then they each choose a digit in turn. They have to observe the rule that each digit must differ from the previously chosen digit modulo 3.
Since Bob will make the last move, he bets that he can make sure that the final number is divisible by 3. Can Alice avoid that?
Since Bob will make the last move, he bets that he can make sure that the final number is divisible by 3. Can Alice avoid that?