A king wants to hold a party, for which he has 8 kegs of wine, one of which he knows is poisoned. If someone consumes any of the poisoned wine, he will drop dead in exactly one months time. The king has 3 servants who have volunteered their lives to test the kegs of wine. What is the shortest amount of time in which the king can identify which keg of wine is poisoned and dispose of it so he can hold the party.
Warm-up question: You have a six-sided dice, and you will receive money that equals to sum of all the numbers you roll. After each roll, if the sum is a perfect square, the game ends and you lose all the money. If not, you can decide to keep rolling or stop the game. If your sum is 35 now, should you keep play?
How much would pay to play a game where you get paid for the number of pips that you roll on a fair dice, but can re-roll the first time.
You have two decks of cards, one normal 52-card deck and one 104-card deck with double every card. Is one deck better than the other if you wanted to get two black cards in a row?
how did Madoff convince his clients to allow him to invest on their behalf.
Expected number of coin tosses to get heads/heads.
2) Given a 100 floor building, and 2 identical eggs (with an unknown capacity to survive a fall from any floor up to floor "x" of the building), how would you minimize the number of drops you need to make in order to determine the highest floor the eggs can be safely dropped from?
There is a jar full of 10 coins. 9 are fair, and 1 has both faces showing heads. You draw a coin at random from the jar and flip it 5 times. If you flip heads 5 times in a row, what is the probability that you get heads on your next flip?
How to calculate the market capitalization from the market share of a company
We choose 6 random numbers out of the first 12 prime numbers. What is the probability that the sum is odd
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