Draw a tree diagram. Refer to Slim's chances of a flush in given Exercise. Draw a tree diagram to describe the outcomes for the two cards that he will be dealt. At the first stage, his draw can be a diamond or a nondiamond. At the second stage, he has the same possible outcomes but the probabilities are different.
Exercise
The probability that the next 2 cards are diamonds. In the setting of Example 5.53, suppose that Slim sees 25 cards and the only diamonds are the 3 in his hand. What is the probability that the next 2 cards dealt to Slim will be diamonds? This outcome would give him 5 cards from the same suit, a very good hand and called a flush.