2. Little Tommy is pissed. He’s playing Uno with his best pals, and one of them
ID: 664763 • Letter: 2
Question
2. Little Tommy is pissed. He’s playing Uno with his best pals, and one of them (Teague) just played a Wild Draw-4 card on him, which set everyone else o laughing at Tommy’s misfortune. Tommy wants revenge, bad. He crosses his ngers, and then draws his four cards. He hopes that at least three of them are cards he can use to get back at Teague: Skips, Reverses, Draw-Twos, or Wild Draw-4’s.
Assume that the friends are playing with a standard Uno deck. This deck has 108 cards, with 8 Skips, 8 Reverses, 8 Draw-Twos, and 4 Wild Draw-4’s. What’s the probability that at least three of the four cards he draws will hold revenge possibilities? (Don’t worry about which cards everyone has in their hands at the moment Tommy draws, but do realize that Teague has just played one of the Wild Draw-4’s on him.) (Note: for maximum credit, show your team’s work.)
Explanation / Answer
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