there is a bus. suppose n people on the bus. in the first stop, 2/3 people get off and 7 get on in the second stop, 2/3 people get off and 7 get on in the third, the same.. at least how many people on the bus?
Trader Intern Interview Questions
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Now, you have an option to reflip all the coins if you want. What's your strategy? And how what's the expected value?
They asked me what the probability was of there being at least 4 heads in 7 coin flips
Chance of seeing star in 1 hour is 60%. What is the chance seeing star in half an hour? etc..
You have a bag of coins of which one half are real and the other half are fake. You need to pay for 1 1/2 hours of parking at a meter where one quarter gives you 15 minutes. Every time you put in a fake quarter the meter time is reset to 0. How many coins will you have to pull out of the bag ?
If A and B are playing tennis and the score is 30-30, what is the chance that A wins the game? Assume on any given point, A has a 0.7 chance of winning the point (and B 0.3)
Given two die, what is the probability that the sum when rolled would add up to six?
The profit of traders A, B and C follows a uniform distribution from 0 EUR to 100k EUR and are independant. What is the probability A > B and B > C?
How does IMC conduct its business ? Graph of a long call ? what is the profit if underlying keeps increasing ? what is loss ? Graph of a short put ? same question. Why do people use these puts with such a small profit ? How long would it take to swim from amsterdam to new york ? If getting a boy and a girl is 50% chances. What is the chance that the family that has a boy, also has a second boy ? You have a 4x4 grid, and three balls. If you manage to get "at least" 2 balls in the same row/column, you win. What is the probability to win ?
If you have a 6-sided cube that has a unique color on each side (6 different colors), how many possible combinations of unique cubes are there?
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