You have a total of 4 investments to make of 100 dollars. You can either invest in a stock which if it goes up in value, you gain an additional 100 dollars, if it goes down, you lose 50 dollars. Or you can bet on whether the stock will go up or down at the casino, where you either win 100 if you're right or lose everything if not. Can you devise a strategy where you will always make a profit?
A game where two players each throw two dice each. If any one die matches the other, you win a dollar. If there is no match, you lose a dollar. Would you play this game or not and why?
1. How do you simulate stock price with VBA? 2. Std.=? 3. VaR=? 4. Three doors, it takes you 1 minute to go through the first door, it also takes you 1 minute to go through the second door, it make your speed slow down 1/2 after going through third door. Only the first door is the right way to go out. You choose each door with the equal probability. How much time will you go out in expectation? 5. You have n 1-meter long ropes, and you could connect two nodes together n-1 times. What is the probability for you to finally get a whole n-meter long rope without rings?
Expected length of the longest segment of a unit-length stick broken in 2 places.
(Round 2) Suppose two players play a game where Player A, then Player B, picks an integer between 1 and 30. Then, a thirty-sided die is rolled. Whoever guessed closer to the value of the roll obtains an amount of money equal to the value of the roll from the other player. Given the choice, do you decide to go first or second? What number do you choose? What is the expected value of this position?
Roll a six-sided die, if I get a larger number than the opponent, I get $1. What's the expected winning?
What is the probability that three random points on a unit circle would form a triangle that includes the center of the unit circle?
Took 5 to 10 minutes to review my research projects. How to deal with 1 million possible factors that may affect revenues, how large the data should be? And then two questions related to linear regression and logistic regression, respectively.
Flip a fair coin 1000 times. What's the probability that the number of heads come up more than 550 times? What theorem would you use to describe probabilities of rare events as number of coin flips goes to infinity?
Given a m*n matrix with values -1 or 1, try to flip the values in a given row and a given line efficiently.
Viewing 191 - 200 interview questions