Card game quiz
The following game is proposed to you:
The dealer holds a set of three cards. Two of them are black, one is red. The goal is that you pick the red card. The cards are shuffled and spread face down in front of you. The dealer knows which one is the red but you don't. You now have to point to a card that you guess might be the red one. The dealer then takes one of the two other cards (those you are not pointing to) off the table. He can only take away a black card. So now there two cards left, one black and one red. You can now guess again which one is red, i.e. you can stick with your first guess or take the other card.
The game is offered to you as that you have to bet $100+1 to get paid $100 if you correctly guessed the red card.
a) are you playing that game?
b) is there a strategy?
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