Question 11
There were three candidates $A$, $B$, $C$ in the elections for a provincial governor. In the first round $A$ won $44\%$ of the number of votes given for $B$ and $C$ together and $C$ had fewest votes. No candidate had the majority necessary for a first-round win, so there was a second round for $A$ and $B$. The voters in the second round were the same as in the first round, except $p\%$ of the voters for $C$ who chose not to participate in the second round; $p$ is an integer, $1 \le p \le 100$. In addition the ones who voted for $B$ in the first round did so again in the second round.
A journalist claims that, knowing all the above, one can infer who the winner is with certainty. For what values of $p$ is he right?
Note. The winner in the second round is the one who obtains more than half of the total number of votes in the second round.
A journalist claims that, knowing all the above, one can infer who the winner is with certainty. For what values of $p$ is he right?
Note. The winner in the second round is the one who obtains more than half of the total number of votes in the second round.