What's the probability of getting 2 tails before 3 heads?
Assistant Trader Interview Questions
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Calculate 68% of 132 up to two decimal numbers without calculation
It is noon. The hour hand and minute hand overlap. When is the next time these two hands overlap again?
What's 26*27?
I roll a die, and I will give you an amount in pounds equal to the number on the die. For example, if I get 5, I will give you 5 pounds. What is the price you are willing to pay for this game?
5 pirates of different ages have a treasure of 100 gold coins. On their ship, they decide to split the coins using this scheme: The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote for or against it. If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain. As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard. Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?
Round 2: If you have balls weighting from 1, 2, ... 40g, and you have a fair balance, how many of their weights you have to know in advance such that you can measure all the rest?
Today is Monday, 10 years from now on this date, what day of the week will it be and how confident are you in your answer?
There exists a six-sided die. The die is rolled. You are paid $x if the die shows x dots (e.g. if you roll 3, then you are paid $3). What is a fair price for this game? Additional layer: after rolling the die once, you have the option of taking the rolled amount or rolling again. However, if you roll again, then you must take the amount corresponding to the second roll. What is a fair price for this game?
A seller is selling you a car whose value is uniformly distributed between 0 and 1000 but you don’t know the real value and you need to bid for the car. If your bid price is higher than the its real value, the deal will be done at your bid price and you can afterwards resell the car elsewhere for 1.5 times its real value. Otherwise, the deal will not be done. You can only bid once. What will be your optimal bid price?
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