SOLUTION: College randomly assigns students to 5 dorms. if 3 friends apply to live in these dorms, what is probability they are assigned to same dorm? What is probability they are assigned t

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Question 943372: College randomly assigns students to 5 dorms. if 3 friends apply to live in these dorms, what is probability they are assigned to same dorm? What is probability they are assigned to different dorms?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
College randomly assigns students to 5 dorms. if 3 friends apply to live in these dorms, what is probability they are assigned to same dorm? What is probability they are assigned to different dorms? 
Suppose the friends are A, B and C.

 

 

  

[Notice that the first probability is 1 because it is certain
that A will be assigned to some dorm.]

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What is probability they are assigned to different dorms?
 
 

 

  

Edwin
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