Programmer Intern Interview Questions

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N pots, each with some number of gold coins, are arranged in a line. You are playing a game against another player. You take turns picking a pot of gold. You may pick a pot from either end of the line, remove the pot, and keep the gold pieces. The player with the most gold at the end wins. Develop a strategy for playing this game.
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Software Engineer

Interviewed at Google

4.4
Sep 21, 2012

N pots, each with some number of gold coins, are arranged in a line. You are playing a game against another player. You take turns picking a pot of gold. You may pick a pot from either end of the line, remove the pot, and keep the gold pieces. The player with the most gold at the end wins. Develop a strategy for playing this game.

If you have 2 coins in your pocket (one is double-headed, and the other is a fair coin), you grab a random coin from your pocket and see that one face is a head. What is the probability that if you flip the coin, the other face is also a head (i.e. that you picked the double-headed coin)?
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Financial Software Developer

Interviewed at Bloomberg

4
May 8, 2010

If you have 2 coins in your pocket (one is double-headed, and the other is a fair coin), you grab a random coin from your pocket and see that one face is a head. What is the probability that if you flip the coin, the other face is also a head (i.e. that you picked the double-headed coin)?

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