For the phone screen I was asked to pick 2 out of 3 categories: probability, algorithms, logic. For the superday, questions were about past projects, as well as technicals in probability and algorithms (think bayes theorem and leetcode). Also a couple of brainteasers.
The first assessment they said would be 'fast mental arithmetic and approximation'. This was however not the case in my opinion. It had to do with solving system of equations, probability theory and even some question about binary numbers. I somehow managed to pass this one (which I was very surprised by). The second assessment was a coding challenge. This was more straightforeward, where you had to code a backtester for a trading algo. However, I failed this one.
Where do you see Facebook in 5 years from now? Give an example of when you showed entrepreneurial spirit. Pick a user experience problem on Facebook that is relevant to FB's mission and propose a research plan.
Simple online test in python followed by a phone call interview. During the phone call interview they asked me about the assumption of linear regression, as if I had memorized those. She rejected me on the spot because I didn't know them. But I looked through Casella and Berger and Elements of Statistical Learning but I didn't find anywhere these assumptions.
16 balls with 4 special are partitioned into 4 groups each with size 4. What is the prob the special balls land in different groups?
You have 1000 coins in a box. One of them shows only heads, the rest are fair. You select a random coin and flip it 10 times. It is heads all ten times. What is the probability that the coin is fair?
Expected number of runs of cards
Unfortunately, I signed a disclaimer saying I wouldn't discuss interview questions. The basic questions on Part A were not very hard, Part B was challenging for me under the time constraints.
The online assessment consisted of a Programming part, then number sequences, and then probability theory, and the last stage was the zap-n where you have to play some games with very fast reaction times.
Why do you want to work for Optiver
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