Sig Interview Questions for Mathematics/Probability
- I had two trips last year, one of which was an international trip in December. What is the probability that both trips were international?
- Two fair dice, A and B, are rolled alternately (A first, then B), and the game ends when A rolls a six. What is the probability that the game ends when A is rolled?
- Next, in Question 2, find the expected number of rolls needed to finish the game.
- Waiting Time Paradox: Three bus routes reach a destination, route A has arrival time U(0,10) and route B U(0,20). What is the average waiting time?
- What is the probability that three randomly selected points on the unit circle will form an obtuse triangle?
- Penney's Game: A picks HHT, B picks HTH First one to show up wins. Who has the advantage? What is the probability of each winning?
- You and your friend bet $10 each in the blinds, and your friend raises to $20. If you don't call, you lose your bets. What is the minimum win rate for accepting this raise?
- A bag contains 99 fair coins and 1 coin that is heads on both sides. One coin is chosen at random and tossed 7 times in a row, find the conditional probability that the chosen coin is double heads.
- What is the probability that the median of three independent random variables, U[0,3], falls between [1,2]?
- A bag has 2 red balls and 1 blue ball. One blue ball is placed after each draw. What is the expected number of replacements until all turn blue?
- A cube is painted blue and then cut horizontally and vertically with 2 cuts, resulting in 27 small cubes. What is the probability that one of them, chosen at random, will have the original yellow color on the top face?
- Intelligence Quiz: Staying gets you \$1,000, a correct answer gets you \$4,000, a wrong answer leaves you with only \$250. what is the minimum percentage of correct answers to this question to make it worth the risk?
- Three numbers are chosen at random from 1 to 20. What is the probability that one of them is equal to the average of the other two?
- With probability p of heads on a biased coin, how many times in a string of heads are expected to come up in 16 consecutive tosses?
- What is the expectation of the resulting chord length at 2 randomly chosen points on the unit circle?
- What is the probability that at least two people will be adjacent to three people randomly seated at a round table seating eight?
- Ditto Three people are seated, what is the probability that none of the three are adjacent to each other?
- Cutting a circle with n straight lines divides it into at most how many regions?
SIG QR Phone Interview
Behavioral Questions Example:
- Why did you choose to do Quant Research?
- Are there any other QR or trading post interviews currently going on?
- Describe your research experience?
- Why do you want to come to SIG?
- When do you expect to graduate? Post-graduation goals are technical/academic/financial?
consultation
Candidate successfully passed SIG internship interview with our coding questions and math tutoring. If you need OA, interview or proxy service, please feel free to Contact Us.
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