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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. Each "redraw" costs an extra $1. How much would you charge someone to play this game?

10 Answers

10?

redraw 10 times and get the payoff around 77?

the average draw will pay out $50.50

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.

9 Answers

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 earn?

12 Answers

• 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 you are correct. What is the dollar amount you would pay to play this game?

6 Answers

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

9 Answers

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 color. All the other remains the same.

7 Answers

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

5 Answers

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

5 Answers

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

3 Answers

How do the balance sheet and income statement relate?

3 Answers
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