There is a unit cube with internal mirror faces. A ray is emitted into the cube from one vertex, reflects off four faces (without touching vertices or edges), and stops at the opposite vertex from which it started. What is the minimum possible distance the ray travels? The answer should be decimal format approximated to 4 digits of precision, i.e. format a.bcd as in 1.234.
How do you estimate square root of 5?
Nine fair coins are tossed, what is the probability of an odd number of heads landing?
You have a path of length n. You flip a coin, if heads move one space and if tails move two spaces. You keep flipping until you reach the end. If P(i) is the probability of landing on space i, for what value of i is P(i) maximized?
Find the minimum of x^x
Run one iteration of bubble sort. What's the probability that the array is now sorted?
How many N in [100,400] s.t. N^N is perfect square
Maximizing Sharpe ratio related question
Suppose you are given a cube, you break the cube in 3X3X3 pieces. However, before doing so, all 6 faces of the cube were colored green. All the other faces not colored green will be white after breaking it up. You randomly pick a small cube and see one face which is green. What is the probability that the cube is an edge cube?
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?
Viewing 41 - 50 interview questions