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You are on a game show. There are three doors, behind one of which is a prize and the other two is a chunk of coal, and the host knows which door holds the prize. You choose door #1. Before it is opened, the host opens door #3 and reveals a lump of coal. You have the choice to stick with the door you chose originally or switch to door #2. What do you do?

17 Answers

Switch doors. When you chose door #1, there was a 66% chance that the prize was not behind that door. When the host revealed the coal, there was still a 66% chance the prize was not behind the door you chose. Thus, you have double the odds of getting the prize by switching to door #2. The key to this puzzle is that the host knew which door has the prize.

That is not true. The probability went from 1/3 to 1/2 once the number of doors reduced to 2. However, statistically speaking, your chances of finding the treasure are now even. So it should not matter which door you pick.

Interview candidate is right. You got 1/3 chance that prize is behind door #1 and you lose if you switch. And you got 2/3 chance that prize is behind either door #2 or #3. Since the host will always eliminate the wrong one. 2/3 chance will be allocated on the left one.

Why Amazon?

15 Answers

You are on a desert island, and all you have is a pair of dice. You know that a plane flies over the island on the 30th day of the month. Using the dice, how can you make a calendar that always tells you the day of the month?

14 Answers

Given a string like "I'm being interviewed by Amazon" implement a method that reverses the given string so that it looks like "Amazon by interviewed being I'm".

10 Answers

You have a cake. How many straight cuts do you need to divide the cake into 8 equal pieces?

11 Answers

If a change in a product made Google less money over all and even would reduce the revenue of partners but might save money for the consumers should Google still do it?

7 Answers

You have a program with something or component that fails 1 week before launch. What do you do?

5 Answers

What is the hardest thing in moving a team to Agile?

5 Answers

Did you have a mentor before

5 Answers

Estimate the number of spark plugs in the state of California.

5 Answers
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