22 Mar '21 13:47>1 edit
If they should cut, nobody knows....or do we?
Two people are playing a card game with 18 Black cards, and 3 red cards. The red cards are randomly mixed into the black cards as a group ( the red cards are all together somewhere in the deck at the start of the game example of possible configuration: BBBBBRRRBBBBBBBBBB )
The game is played by drawing cards ( without replacement) from the top of the deck one by one until a red card is drawn. The person that draws red loses. Before any players turn they can choose to draw from the deck as is, or cut the deck. A cut consists of removing anywhere between 1 and number of remaining cards minus 1 cards from the top of the deck and placing them underneath the remaining deck.
The first person goes and draws a black without cutting. What are the probabilities the next person loses if they decide to cut (or not cut ) the deck before their draw?
Two people are playing a card game with 18 Black cards, and 3 red cards. The red cards are randomly mixed into the black cards as a group ( the red cards are all together somewhere in the deck at the start of the game example of possible configuration: BBBBBRRRBBBBBBBBBB )
The game is played by drawing cards ( without replacement) from the top of the deck one by one until a red card is drawn. The person that draws red loses. Before any players turn they can choose to draw from the deck as is, or cut the deck. A cut consists of removing anywhere between 1 and number of remaining cards minus 1 cards from the top of the deck and placing them underneath the remaining deck.
The first person goes and draws a black without cutting. What are the probabilities the next person loses if they decide to cut (or not cut ) the deck before their draw?