Question 9
Ann and Bob play the following game. They, in turn (Ann starts), replace one of the asterisks in the expression $\overline{*****}$ by one of the digits from $0$ to $9$ (each digit can be used exactly one time). Ann wins if the obtained $5$-digit number is divisible by $11$, otherwise Bob wins.
Who of the players wins if both of them play to win?
Who of the players wins if both of them play to win?