Problem bank

Problem 186 of 333HardProbabilityP186

Red card next

  1. A standard deck (26 red, 26 black) is shuffled and dealt face up one card at a time. At any moment before the last card you may say "stop", and you win if the next card dealt is red. If you never say stop, you are judged on the last card. What strategy maximizes your chance of winning, and what is that chance?