Jack reports he has ESP. To prove it, he states the color (red or black) of a card drawn at random from a deck of 52 cards. He does this for 30 cards (with replacement). Suppose he is correct on 18 of the cards. He states, "See, I got more than half correct? " What do you think? One way of reasoning here is: If Jack is just guessing how odd is it that he gets 18 or more correct out of 30?; i.e., obtain the probability that X ≥ 18.