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22 May 2006, 07:13
Kudos
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In a department store there are 30 cubbies of different hats.
Each hat has its own assigned cubbie box. However, there was
an earthquake...and all of the hats fell onto the floor (out
of their cubbies) and then the department store lady tried to
put back the hats into their cubbies...so randomly she placed
one hat here...and one hat there until 30 hats were in the
cubbies (one per cubbie). However, of course, the store lady did
not know which hat went with which cubbie, so some of the cubbies
had the wrong hat in them... the question is: what is the probability
that at least one hat will be in its properly assigned cubbie?
Each hat has its own assigned cubbie box. However, there was
an earthquake...and all of the hats fell onto the floor (out
of their cubbies) and then the department store lady tried to
put back the hats into their cubbies...so randomly she placed
one hat here...and one hat there until 30 hats were in the
cubbies (one per cubbie). However, of course, the store lady did
not know which hat went with which cubbie, so some of the cubbies
had the wrong hat in them... the question is: what is the probability
that at least one hat will be in its properly assigned cubbie?
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26 May 2006, 17:43
Kudos
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is the answer 29/30?
here is my explanation .
answer = 1-(probability that all the hats are placed wrong )
probability that all the hats are placed wrong = fact(29)/ fact(30) = 1/30
please post OA.
here is my explanation .
answer = 1-(probability that all the hats are placed wrong )
probability that all the hats are placed wrong = fact(29)/ fact(30) = 1/30
please post OA.
26 May 2006, 23:05
Kudos
Bookmarks
guptaraja said
is the answer 29/30? -------- no this is not the answer.
here is my explanation .
answer = 1-(probability that all the hats are placed wrong ) ---- this is right...
probability that all the hats are placed wrong = fact(29)/ fact(30) = 1/30
--------- this is wrong.
is the answer 29/30? -------- no this is not the answer.
here is my explanation .
answer = 1-(probability that all the hats are placed wrong ) ---- this is right...
probability that all the hats are placed wrong = fact(29)/ fact(30) = 1/30
--------- this is wrong.
