If you flip a coin until you decide to stop and you want to maximize the ratio of heads to total flips, what is that expected ratio?
Trader Intern Interview Questions
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4 balls in a bag: 2 reds, 2 blacks. Randomly pick 2 balls, paint the second ball to color of the first ball. Find the expected number of times until all the balls have the same color.
Simulate a 6 sided die with a coin.
For a 3 sets tennis game, would you bet on it finishing in 2 sets or 3 sets?
You have 3000 apples at Edingburgh want to transfer as many apples as you can to London. You have a truck, the maximum capacity of which is 1000 apples. London is 1000 miles away from Cambridge and when the truck is carrying apples, for every mile it drives, it will drop one apple. What is the maximum number of apples you can deliver to London?
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.
Flip a coin four times. If you at first flip a head, you win $1. If you flip a consecutive head, you win double your previous winnings. What is the expected value of your winnings?
Russian Roulette - 4 blanks 2 bullets, all in a row. If someone shoots a blank next to you, would you take another shot or spin
You have a box filled with cash. Cash value is uniformly randomly distributed from 1 to 1000. You are trying to win the box in an auction: you win the box if you bid at least the value of the cash in the box; you win nothing if you bid less (but you lose nothing). If you win the box, you can resell it for 150% of its value. How much should you bid to maximize the expected value of your profit (resale of box minus bid)?
was asked this question today...you want buy a car at an auction whos price is uniformly distributed between 0-1000 if you bid more than the car you win it at the price you bid.if you bid less that the cars proce you dont win it but dont lose anything. you can sell the car for 1.5 time the value of which you bought it. what should you bid on the car to maximumise your profit?
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