Which Alice?

ALICE IN PUZZLE-LAND
ANOTHER DIVISION A million multiplied by a quarter is a
quarter of a million, but a million divided by a quarter is the number
of quarters needed to make a million, which is four million. So, four
million is the correct answer to the Queen's question.
HOW MUCH? A common wrong answer is "Four shillings." If
the bottle was really worth 4 shillings, then the wine, being worth 26
shillings more, would be worth 30 shillings; so the bottle and wine
together would be worth 34 shillings.
The correct answer is that the bottle is worth 2 shillings and the
wine is worth 28 shillings.
AWAKE OR ASLEEP? If the Red King were awake at the time,
he could not have had the false belief that both he and the Red
Queen were asleep. Therefore, he was asleep. This means that his
belief was false, so it is not true that both were asleep. Therefore,
the Red Queen was awake.
AWAKE OR ASLEEP? The Red King was either awake or asleep
at the time. Suppose he were awake. Then his belief was correct,
which means the Red Queen was asleep. Then her belief was
incorrect, so she believed he was asleep. On the other hand,
suppose he were asleep at the time. Then his belief was wrong, so
the Red Queen was awake. Then her belief was correct, so she
believed he was asleep. Therefore, regardless of whether the King
was awake or asleep, the Queen must have believed he was asleep.
HOW MANY RATTLES? If Tweedledum loses, he will have half
the total number of rattles (which is the same thing as having the
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