Facebook家面试题目总结

zztc2004

因为约了1个月后面试FB家的DS-Analytics职位。
所以在网上搜索了一些最近10年的面试题目，总结出了一部分stat/prob的题目，今天贴出来一小部分仅供大家参考.

1.    You have two trains heading for each other at rate xand y, you have a bird that flies at speed Z back and forth between the frontof the heads, how far did the bird travel until the trains met.  

2.    There are two mobile restroom stalls at a constructionsite where I work.
There are also three situations that have an equalchance of occurrence:
a. none of them is occupied
b. only one of them is occupied
c. both are occupied

【i】1.     【i】If I were topick one at random, what is the probability that it is occupied?

【i】2. If it turns out that that first one I go to isoccupied and I decide to try the other one, what is the probability that thesecond one is also occupied?

3.    probabilityquestion. 玩包剪锤， 它60% rock 10% cloth, 30%  剪刀. 玩10盘 输的给嬴得1 块.What is your strategy?  A: you play cloth10 times.

Follow: to see who win 10 times first then you win all. A: you shouldjust play rock, because you can win-lose 3:1. If yo

u play cloth it is 2:1

4.      There are two types of cars A and B.The number of people in US who use A and B are the same.  They drive the same distances each month. Nowthere are two new technologies, X and Y (of equal cost). If apply X,mpg of A would increase from 50 mpg to 75 mpg; If apply Y, mpg of B wouldincrease from 10 mpg to 11 mpg. The goal is to decrease the dependence onforeign oil, or to decrease the consumptionof gasoline.

Question: which technology would you apply? Follow up question: afterapplying the technology of your choice, assume there'smoney available for research on new technology, which car would you choose to conduct research on?

5.     businesssense: There are two types of cars A and B. The   number of people in US who use A and B arethe same. They drive the same distances each month. Now there are two newtechnologies, X and Y (of equal cost). If apply X, mpg of A would increase from50 mpg to 75 mpg; If apply Y, mpg of B would increase from 10 mpg to 11 mpg.The goal is to decrease the dependence on foreign oil, or to decrease theconsumption of gasoline. Question: which technology would you apply? Follow upquestion: after applying the technology of your choice, assume there's moneyavailable for research on new technology, which car would you choose to conductresearch on?

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