Summer Intern Interview Questions

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“You are playing a game where the player gets to draw the number 1-100 out of hat, replace and redraw as many times as they want, with their final number being how many dollars they win from the game…”

“Say I take a rubber band and randomly cut it into three pieces. What's the probability that one of the pieces has length greater than 1/2 of the original circumference of the rubber band.”

“3) Poker. 26 red, 26 black. Take one every time, you can choose to guess whether it’s red. You have only one chance. If you are right, you get 1 dollar. What’s the strategy? And what’s the expected…”

“25 racehorses, no stopwatch. 5 tracks. Figure out the top three fastest horses in the fewest number of races.”

“• Is 1027 a prime number?
• How would you write an algorithm that identifies prime numbers?
• 2 blue and 2 red balls, in a box, no replacing. Guess the color of the ball, you receive a dollar if…”

“2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops.

B. 10 ropes, no…”

“1) Tow coins, P(head)=1/3, P(tail)=2/3, design a way to get the effect of fair coin”

“To write down code for x^n in O(logn) time.”

“If you have a calculator with only the number zero and every single operator, how can you get the number 24?”

“How do the balance sheet and income statement relate?”

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