Summer Interview Questions

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“Flip a coin until either HHT or HTT appears. Is one more likely to appear first? If so, which one and with what probability?”

“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.”

“how many times the hour and minute hands of the clock form right angle during one day?”

“13 cubed”

“At a party everyone shakes hands, 66 hand shakes occur, how many people are at the party?”

“• 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…”

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