Probability

Google Riddles - The Surprise Box

Riddle:

You have 3 boxes. One of them contains a prize. You were allowed to pick just one of them. You pick - and it's empty. With 2 boxes left, you now have one box in your hand and another box in front of you. If given the chance to exchange your box with the box in front of you, would you do it? Why, and why not? (The 'Google Riddles' are interview questions those who wish to get hired were asked).
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Random Answer

Riddle:

If you randomly choose one of the following answers to this question, what is your chance of getting it right? A) 50% B) 25% C) 0% D) 25%
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5 Pirates Find Gold

Riddle:

5 pirates are parting ways after finding a treasure of 100 pieces of gold. The pirates decide to split it based on a vote. Each pirate, from oldest to youngest, gets to propose a plan on how to split the gold. If at least 50 percent of the other remaining pirates agree on the plan, that is how they will split the gold. If less than 50 percent of the pirates agree, the pirate who came up with the plan will be thrown overboard. Each pirate is smart, greedy, and wants to throw as many others overboard as possible without reducing the amount of gold they get. What plan can the first (oldest) pirate propose to live and get as much gold as possible?
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The Coin Toss

Riddle:

If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?
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