Slap the Table on Red
A dealer shuffles a standard 52-card deck (26 red, 26 black) and turns cards face up one at a time. At some point you must interrupt and declare that the very next card will be red — and you are required to make this call before the deck runs out, so if you wait until 51 cards are shown you are calling the last card. You win if the card right after your call is red. You see every card as it is dealt and may base your timing on the running counts. Can any strategy make your win probability exceed ?
Answer
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