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Mathematics, 19.01.2021 14:00 cheyennerondeau

(adapted from Ross, 2.31) Three countries (the Land of Fire, the Land of Wind, and the Land of Earth) each make a 3 person team. Each team consists of three ninjas, each of a different rank: one genin junior ninja, one journeyman ninja, and one elite ninja. (a) If a ninja is chosen at random from each of the three different countries, what is the probability of selecting a complete team? (A complete team here is a group consisting of three ninjas, each ninja of a different rank).

(b) If a ninja is chosen at random from each of the three different countries, what is the probability that all 3 ninjas selected have the same rank?

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