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Hans is staying at a hotel that has five floors, numbered 1 through 5, and 10 rooms per floor, numbered 1 through 10.  Hans forgets where his room is, but knows that it is on an odd numbered floor and the room nujmber is divisible by 3.  If Hans randomly choose a room he knows might be his room, what is the probability that Hans chooses the correct room?  Express your answer as a common fraction.

 Jul 20, 2022
 #1
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P of choosing the correct floor = ( 3/5 )

P of choosing the correct room on one of these floors = (3/10)

 

P ( choosing the correct floor and correct room )  =  (3/5) (3/10) =  9 / 50

 

 

cool cool cool

 Jul 20, 2022

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