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?
Trainee Trader Interview Questions
11,667 trainee trader interview questions shared by candidates
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?
In a best of 7, first to 4 competition (I think the nba finals was used in his phrasing), what are the odds that a game 7 is played?
Q1: What is the smallest number whose digits multiply into 216. What about 10,000? Q2: Calculate the probability of getting 3 heads after 4 coin flips. What is the probability of getting an odd number of heads for 4 flips? What about for 9? What about for N flips? Q3: What is the next date whose digits are all unique? Q4: Getting heads-tails-heads and heads-heads-tails are equiprobable after 3 coin flips. But if I keep flipping a coin, I'm more likely to get one of these combinations than the other. Why is that?
Probability calculation. Math problems.
Find the largest 5-digit number such that the pairwise digit sums of the numbers are unique. Find the smallest 5-digit number with the same property. Explain why it doesn't work for 7-digit numbers. Does it work for 6-digit numbers?
You have 3 cards, each labeled n, n+1, n+2 and you don't know n. The rules of the game: All cards start face down. You flip one card. If you "stay", you get that card's value. If you don't "stay", then you flip another card. Again, choose to "stay" (and keep the 2nd card's value) or flip the final card and keep the final card's value. Design the optimal strategy.
You have 2 clocks, that are x hours apart. What is the probability that at any given time, both clocks' minute and hour hands form acute angles?
3/?=?/48
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