Which Alice?

Tweedledum or Tweedledee?
wouldn't be, but if they weren't alike, they might be. Therefore,
they're not alike. That's logic!"
It took Alice a bit of time to puzzle this out.
"If the names confuse you," said the first brother, "both games
have alternative names. The first is also called Red and Black; and
the second, Orange and Purple."
"What are the rules of the games?" asked Alice.
"Well, each game has six rounds," he replied. "Let us play the first
game first—the game Red and Black."
At this point he pulled out a playing card from his pocket—it was
the Queen of Diamonds—and showed it to Alice.
"As you see, this is a red card. Now, a red card signifies that the
one carrying it is telling the truth, whereas a black card signifies that
the speaker is telling a lie. Now, my brother there [he pointed to the
other one] is also carrying either a red card or a black card in his
pocket. He is about to make a statement. If his card is red, he will
make a true statement, but if his card is black, he will make a false
statement. Then your job is to figure out whether he is Tweedledee
or Tweedledum."
"Oh, that sounds like fun!" said Alice. "I'd like to play!"