You bid for a coin. You're confident that the price of the coin is between 0 and 100, if your bid is greater than the price, you win and sell it to your friend at the price of 1.5 times price. what's your bid to max your profit?
Quantitative Trader Interview Questions
1,130 quantitative trader interview questions shared by candidates
There are 3 coins. One coin has heads on both sides, one coin has tails on both sides, the third one has head on one side and tail on the other side. Now I pick up one coin and toss. I get head. What is the chance that the coin I picked has heads on both sides?
N points lie on a circle. You draw lines connecting all the points to each other. These lines divide up the circle into a number of regions. How many regions is this? Assume that the points are scattered in such a way as to give the maximum number of regions for that N.
There are 25 horses. Each time you can race 5 horses together. Now you need to pick the top three horses among them. How many races do you need to conduct?
If we flip a coin 100 times, what is the probability of getting even number of heads?
Imagine I flip 100 coins in a sequence, and you need to guess the sequence. You are allowed to ask one yes/no question. What do you ask to maximize the probability of guessing the sequence?
The only difficult question I was asked went as follows: "You and your opponent flip a coin. If the first player gets heads, the second player pays him $30. If he flips tails, the coin goes to the second player. If the second player flips heads, he wins $30 from the first player. How much should you pay to go first?"
You flip four coins. At least two are tails. What is the probability that exactly three are tails? Do this in your head, you are not allowed to write anything down for this question.
There are two racks, X and Y. X contains red (R) socks with probability 0.4 and black (B) socks with probability 0.6. Y contains R with probability 0.7 and B with probability 0.3. I pick a rack randomly. From that rack, I pick 2R. What is the probability that those 2R come from rack X?
There are an unknown amount of people on a bus. After the first stop, three-quarters of them get off and 7 get on. This happens again a two more stops. After this process, what is the minimum amount of possible people that could be on the bus?
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