(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?