Renato and Elena are hired by a Company that has 5 branches in Mayaguez, Aguada, Cabo Rojo, San German and Rincón. The Company Manager randomly assigns them to a branch. What is the probability that Renato and Elena will be assigned to different branches?
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P(both are assigned to different branch) = ?
= number of ways different branches can be assigned to Renato and Elena/ total number of ways these 2 people can be allocated a branch
= 5*4 / 5*5
( as lets say Renato can be assigned any of the 5 branches, and then Elena is assigned any of the remaining 4 that Renato is not assigned to).
= 4/5
= 0.80
The probability that Renato and Elena will be assigned to different branches is 0.80
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