18.05 Lecture Notes - Lecture 1: Mit Opencourseware
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After one-pair, the next most common hands are two-pair and three-of-a-kind: Two-pair: two cards have one rank, two cards have another rank, and the remaining card has a third rank. e. g. {2 , 2 , 5 , 5 , k } Three-of-a-kind: three cards have one rank and the remaining two cards have two other ranks. e. g. {2 , 2 , 2 , 5 , k } Calculate the probability of each type of hand. Red: 3 3 3 3 3 6; green: 1 4 4 4 4 4; white: 2 2 2 5 5 5. Finish making your non-transitive dice. (a) in class you found the probability that red beats white. Find the probability that white beats green and the probability that green beats red. Can you line the dice up in order from best to worst? (hint: this is why these are called non-transitive". ) (b) suppose you roll two white dice against two red dice.