A simple card guessing game revisited
A deck of cards consisting of $m$ red and $n$ black cards is given. A guess is
made as to the colour of the top card, after which it is revealed and discarded.
To maximise the number of correct guesses one chooses the colour corresponding
to the majority of cards remaining in the deck. We determine the expected number
of correct guesses with this strategy, as well as the probability of beating an
opponent (a child)
who uses the naive stategy of random guessing.
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