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torquerotates
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Homework Statement
A 3 person basketball team consists of a guard, a forward and a center. If a person is chosen randomly from each of 3 different such teams, what is the probability of selecting a complete team?
Homework Equations
The Attempt at a Solution
Well my reasoning is that for the guard on the team, I have to pick from one of the teams. So looking at one of the teams, i can pick out of 3 to be the guard. Then i have to look at the next team of which i can only pick out of 2 to be the forward and finally the last team only offers me one choice. So its (3+2+1)/9=2/3
but the answer in the back of the book gives 2/9. something's wrong.