probability that 2 men check into a same hotel

[fredfire]

There are 4 hotels in a certain city. If 3 men check into hotels in a day, find the probability that 2 men check into a same hotel

 

[Dr.Peterson]

There are 4 hotels in a certain city. If 3 men check into hotels in a day, find the probability that 2 men check into a same hotel

First find the probability that the 3 men all choose different hotels, which is easier. Then subtract.

(I'm assuming that the problem means "at least two men check into the same hotel", not "exactly two".)

 

[JeffM]

There are 4 hotels in a certain city. If 3 men check into hotels in a day, find the probability that 2 men check into a same hotel

It depends on whether the check ins are independent. If the three men are all going to the same meeting, the check-ins may well not be independent.