Investment Banking Quant Interview Puzzles
Question 1 P and Q are two points chosen at random between 0 and 1. What is the probability that ratio p/q lies between 1 and 2?
It will be equal to the area of triangle (0,0), (1,1) and (1,0.5)
Probability = 1/4
Question 2 Two friends make an evening visit to Corner House for DBC. Each arrives at a random time between 5:00 and 5:30 pm. Each one of them stays for exactly 30 minutes. On any one given evening, what is the probability that the two friend will meet at Corner House ?
We can calculate the ratio of shaded area inside the grid of (60*60) and of the grid, that will give us the required probability.