Given a fair die 1-6, what would be the expected value of the result? What if you have two chances? After the first row, you can choose whether or not you want to keep it. What would be the maximum expected value based on the best strategy.
Trainee Trader Interview Questions
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steel ball with 8cm diameter weigh 8 ounce. how much does a 12cm diameter steel ball weigh?
You have 2 ropes, each of which takes 1 hour to burn. But both have different densities at different points. How to measure 45 minutes?
toss 3 coins. what's the probability of at least two heads?
You have a drawer with an infinite number of two colors of socks, which exist in equal probability. What is the expected number of attempts at taking out socks individually from the drawer before a matching pair is found?
You have 10 seconds. Calculate 15% of 155.
The interview started and I was told to not use and pencil or paper. They asked me some squaring questions and some subtraction with large numbers. I was also asked how much I would pay to play a game where I get heads if I win a dollar, and how much I would be willing to pay if I was able to re-flip up to two more times.
A and B in a game. Each choose a different number. Roll two dice, take the sum. The one closer to the result wins. Go first or second, choose which number?
I did initially misunderstand this question and had to be helped along, but it is fairly difficult to do on the fly anyway: "We're playing a game with an unbiased 30-sided die. Before we roll, we both pick (distinct) numbers between 1 and 30, and then we roll the die. If the number that appears is closer to the number I picked, you pay me, in dollars, the number on the die; if it is closer to the number you picked, I pay you, in dollars, the number on the die; if it is equidistant we do nothing. What's the optimal strategy - do you go first or second, and how do you pick your number? What's your expectation?"
Player A rolls 3 6-sided dices. Player B rolls a 20-sided dice. The player with highest score wins. Which player do you wish to be?
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