Susquehanna International Group, LLP

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Susquehanna International Group, LLP Financial Analyst Interview Question

"If you and your four friends go out to dinner and are seated at a round table with five seats, what is the probability you will sit in exactly the correct order with respect to your ages. Assume no one is the exact same age."
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Part of a Financial Analyst Interview Review - one of 250 Susquehanna International Group, LLP Interview Reviews

Answers & Comments

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distribution would indicate there are 116 different combinations. But they are primarily interested with the method you used to reach this conclusion.

- Interview Candidate on Apr 27, 2012
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There are 5 seats available. I'm assuming it doesn't matter if the order is CW or CCW. Pick the oldest person it doesn't matter where he sits. There's a 50-50 chance the youngest person takes 2/4 of the remaining seats next to the oldest person. That determines the direction of the table. There's a 1/3 chance the next oldest sits next to the youngest, 1/2 chance the 3rd oldest sits next to them, and a 100% chance the 2nd oldest takes the final seat. So 1*(2/4)*(1/3)*(1/2)*1= 1/12

- Kevin on May 13, 2012
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if right or left arrangement doesnt matter (1/4!)*2 and if it does just (1/4!). The reason you pick 4 is because it does not matter who the first person is, only the ensuing order of people.

- Anon on Aug 11, 2013

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