1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Chances of picking a basketball team

  1. Dec 6, 2008 #1
    1. The problem statement, all variables and given/known data
    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?



    2. Relevant equations



    3. 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.
     
  2. jcsd
  3. Dec 6, 2008 #2

    lurflurf

    User Avatar
    Homework Helper

    Oh badness. You have added when you should have multiplied. That should be
    (3/3)*(2/3)*(1/3)=2/9
    not
    (3/3)+(2/3)+(1/3)=2/3
     
  4. Dec 6, 2008 #3

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    You haven't even just added. Your reasoning is completely correct. 3 choices from the first team, 2 from the second and 1 from the last. That's 3*2*1 choices that give you a complete team. How many possible choices of three regardless of whether they form a team?
     
  5. Dec 6, 2008 #4
    well it would be, going by your reasoning, 3*3*3=9

    But I still don't understand why you multiply instead of add.
     
  6. Dec 6, 2008 #5

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    3*3*3=27. Come on.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Chances of picking a basketball team
  1. Lottery Picks (Replies: 2)

  2. Teams in Tournament (Replies: 0)

Loading...