D. E. Shaw Interview Question
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Interview Question for Quantitative Analyst at D. E. Shaw:
Feb 12, 2012
If 3 of my friends have phone numbers ending (last four digits) in some permutation of 0,1,4, and 9 and I have 150 friends, then is that just a chance occurance?
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1 of 1 people found this helpful
Mar 4, 2012
My guess:
There are 4! = 24 ways in which we can pick a 4 digit number that is a permutation of 0,1,4,9.
There are 10^4 = 10000 ways in which we can pick 4 digit number(each of the digits can be between 0 to 9).
Hence probability of getting a permutation of 0,1,4,9 is 24/10000 = 3/1250 < 3/150
So having 3 in 150 with the given permutation seems to be more of a chance occurrence. is that correct?
There are 4! = 24 ways in which we can pick a 4 digit number that is a permutation of 0,1,4,9.
There are 10^4 = 10000 ways in which we can pick 4 digit number(each of the digits can be between 0 to 9).
Hence probability of getting a permutation of 0,1,4,9 is 24/10000 = 3/1250 < 3/150
So having 3 in 150 with the given permutation seems to be more of a chance occurrence. is that correct?
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