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This puzzle is by Martin Hollis, adapted from the column Tantalizer
in the New Scientist by permission.
Dr. Devine, a parapsychologist, was working on an experiment in clairvoyance.
He had a table on which five playing cards, numbered one to five,
were lying face down.
"The cards have been drawn at random from a pack containing 10 of each of the
five different kinds of card", he explained to Bocardo, his guest psychic.
"My five subjects over there have written down a guess for each card.
In a moment I shall turn up the cards and score their guesses".
Bocardo spent a moment studying the guesses, which are listed in the table.
"What results would you expect?", Bocardo asked.
"The standard result is what I call a 2-1-0 run", Dr. Devine replied.
"One subject scores 2, three score 1, one scores 0.
One symbol comes up twice, three come up once, and one doesn't come up at all.
One card is guessed by two subjects, three by one, and one is not guessed at all".
"Do let me try!", exclaimed Bocardo, writing down her guesses.
The run was a standard one and Bocardo proved 100% clairvoyant.
What did she guess?
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