Consider three cards, as follows: One is red on both sides, one is black on both sides, and one is red on one side and black on the other. 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 one side only.
(a) What is the probability that this one side is red?
(b) Conditional on this one side being red, what is the probability that the card showing is the one that is red on both sides?
(c) Suppose you wanted to verify the answer in part (b), using an actual, physical experiment. Explain how you could do this.