Consider three cards, as follows: one is red on both sides, one is black on both sides, and one is red on one and black on the other side. Suppose the cards are placed in a hat, and one is chosen at random. Suppose further that this card is placed flat on the table, so we can see only one side only. (a) What is the probability that the side showing is red? (b) Conditional on the side showing being red, What is the probability that the other side is also red?
