Which Alice?

Tweedledum or Tweedledee?
"Now, the next game," said Tweedledum, "is much more interesting!
It also has six rounds. Before each round, we go into the house
where we have another pack of playing cards. These cards are
colored orange and purple, rather than the usual red and black."
"Where did you ever get such cards?" asked Alice.
"We made them ourselves," he replied. "We made them specially
for this occasion."
Alice thought it quite touching that they went to so much trouble
for the sake of one occasion.
"Besides, they're very pretty cards, and they were fun to make,"
he added.
"Now," he continued, "one or both of us will come out of the
house, and he (we) will make statements. Then you are to figure out
who is who."
"Just a minute," said Alice, "you have not told me the significance
of the colors orange and purple. Does one of them signify lying and
the other truth-telling? And if so, which color means which?"
"Ah, that's the most interesting part of the game!" said
Tweedledum. "You see, when I carry an orange card, it means
that I am telling the truth, and when I carry a purple card, it means
I am lying!"
"Contrariwise," said Tweedledee, "when I carry an orange card, it
means I am lying, and when I carry a purple card, it means I am
telling the truth!"
"Oh, that sounds very complicated!" remarked Alice.
"Not really," said Tweedledum, "not when you get used to it.
Shall we try?"
"Ye-es," said Alice, a bit doubtfully.
ROUND ONE Both brothers went into the house. Shortly
after, just one emerged and said, "My card is purple."
Alice had less trouble solving this than she had anticipated. Who
was the speaker?
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